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LSU Mathematics Electronic Preprint Series


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2004


2004-23 posted December 27, 2004

Authors: C. N. Delzell

Title: Extension of the Fourier-Budan theorem to
one-variable signomials

Keywords:


Status: Draft of September 30, 2004

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2004-22 posted December 27, 2004

Authors: B. Beavers and J. Oxley

Title: On Pancyclic Representable Matroids

Keywords:


Status: Submitted 2004

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2004-21 posted December 27, 2004

Authors: V. Mihai and A. N. Sengupta

Title: The Radon-Gauss Transform

Keywords:


Status: Submitted 2004

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2004-20 posted December 27, 2004

Authors: J.J. Becnel and A.N. Sengupta

Title: The Schwartz Space: A Background to White Noise Analysis

Keywords:


Status: Submitted 2004

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2004-19 posted December 27, 2004

Authors: K. Keimel and J. D. Lawson

Title: Measure Extension Theorem for T0-Spaces

Keywords: Valuation, Borel measure, sober space


Status: Submitted 2004

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2004-18 posted December 27, 2004

Authors: S.P. Shipman
and D. Volkov

Title: Existence of Guided Modes on
Periodic Slabs

Keywords:


Status: Submitted to Proceedings of
the fith International Conference
on Dynamical Systems and Differential Equations
2004

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pdf formats are available

2004-17 posted December 27, 2004

Authors: S.P. Shipman
and S. Venakides

Title: Resonant transmission near nonrobust periodic
slab modes

Keywords:


Status: Physical Review E in print

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pdf formats are available

2004-16 posted December 9, 2004

Authors: M. Aristidou,
M. Davidson
, and
G. Olafsson

Title: Laguerre Functions on Symmetric Cones and recursion relations in the Real Case

Keywords:
Special functions, tube type domains, Jordan algebras, representation
theory, holomorphic representations

Status: Submitted

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pdf-format

2004-15 posted December 9, 2004

Authors:T. Branson,
G. Olafsson
and
A. Pasquale

Title: The Paley-Wiener Theorem and the local Huygens'
principlefor compact symmetric spaces

Keywords:
Compact symmetric spaces, Huyghens' principle, Fourier transform,
harmonic analysis


Status: Submitted

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pdf-format


2004-14 posted December 9, 2004

Authors:
G. Olafsson
and
A. Pasquale

Title: Support properties and Holmgren's
uniqueness theorem for differential operators with hyperplane
singularities

Keywords:
Coxeter groups, invariant differential operators, Holmgren's
uniqueness theorem


Status: Submitted

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pdf-format


2004-13 posted December 9, 2004

Authors:S. Gindikin, B. Kroetz, and

G. Olafsson


Title: Horospherical model for holomorphic discrete series
and horospherical Cauchy transform

Keywords:
Discrete series, symmetric spaces, integral transform


Status: Submitted

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pdf-format


2004-12 posted September 13, 2004

Authors:
Luigi Accardi, Hui-Hsiung Kuo, and Aurel Stan

Title: Probability measures in terms of creation, annihilation, and
neutral operators

Keywords:
Interacting Fock space, creation operator, annihilation operator,
neutral operator, fundamental recursion equality, commutator,
polynomially symmetric measure, polynomially factorizable,
measure, moment-equal measure, trace equivalence, classical
probability measures

Status: submitted July 2004

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, ps, and
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2004-11 posted September 13, 2004

Authors: Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

Title: Generating function method for orthogonal polynomials and Jacobi-Szego parameters

Keywords: Accardi-Bozejko isomorphism, Interacting Fock space, creation,
annihilation, neutral operator, pre-generating function,
generating function, multiplicative renormalization, classical
measures, differential operator, difference operator.

Status: submitted for publication

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dvi
, ps, and
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2004-10 posted September 13, 2004

Authors: Rhiannon Hall, James Oxley, Charles Semple

Title: The structure of equivalent 3-separations in a 3-connected matroid

Status: submitted July 2004

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2004-9 posted September 13, 2004

Authors: A. Barhoumi, H.-H. Kuo, H. Ouerdiane

Title: Generalized Gross heat equation with noises

Keywords: Gross Laplacian, heat equation, generalized heat equation,
convolution operator, Young function, generalized function,
test function, stochastic differential equation, white noise,
space-time white noise, Kubo-Yokoi delta function.

Status: submitted for publication

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, ps, and
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2004-8 posted September 13, 2004

Author: B. Krotz, G. Olafsson, and
R. Stanton

Title: The image of the heat kernel transform on Riemannian
symmetric spaces of the noncompact type

Keywords: Heat kernel, Hilbert spaces of holomorphic
functions, holomorphic extension, Bargmann-Segal transform

Status: submitted for publication August 2004

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, ps, and
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2004-7 posted September 13, 2004

Author: G. Olafsson, E. Ournycheva,
and B. Rubin

Title: Multiscaled wavelet transforms, ridgelet
transforms, and Radon transforms
on the space of matrices

Keywords: Integral transforms, Radon transform,
wavelet transform, ridgelet transform, factional integrals, matrice spaces

Status: submitted for publication September 2004

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, ps, and
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2004-6 posted September 13, 2004

Author: M. Davidson

Title: Generating functions associated to
highest weight representations

Keywords: Representations, Laguerre functions, bounded
domains

Status: submitted for publication

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, ps, and
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2004-5 posted March 11, 2004

Author: Mikhail Krastanov, Michael Malisoff, and Peter
Wolenski

Title: On the Strong Invariance Property for
Non-Lipschitz Dynamics

Keywords: state constraints, control
theory, nonsmooth analysis

Status: submitted for publication in January 2004

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, ps, and
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2004-4 posted February 13, 2004

Author: Tzanko Donchev and Marc Quincampoix

Title: A Two Point Boundary Value Problem for a Class of
Differential
Inclusions

Keywords: one-sided Lipschitz condition, successive
approximations, relaxation theorems

Status: Journal of Nonlinear and Convex Analysis, to
appear

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and
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2004-3 posted February 13, 2004


Author: M. Kovacs

Title:On positivity, shape, and norm-bound preservation of time-stepping
methods for semigroups

Keywords: rational approximations, qualitative properties of time
discretization methods for semigroups, Hille-Phillips functional calculus,
positivity preservation, bound preservation, shape preservation,
contractivity, convexity preservation

Status: submitted on October 15, 2003 to Journal of Mathematical Analysis
and Applications

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2004-2 posted February 13, 2004


Author: M. Kovacs

Title: On the maximum-norm of the restricted denominator approximations

Keywords: rational approximations, maximum norm contractivity, time
discretization, heat equation

Status: to appear in Computers and Mathematics with Applications

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2004-1 posted February 13, 2004


Authors: I. Farago and M. Kovacs

Title: On maximum norm contractivity of second order damped single step
methods

Keywords: rational approximations, time discretization methods for
semigroups, heat equation

Status: Calcolo 40, 91-108 (2003)

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dvi, ps, and
pdf formats are available






2003


2003-31 posted December 30, 2003


Author: Jimmie Lawson and Yongdo Lim

Title: Symmetric sets with midpoints and algebraically equivalent theories

Keywords: geometric mean, twisted subgroup, displacement group, involutive
group, unique 2-divisibility, Bol loop, K-loop, gyrogroup


Status: preprint, submitted on December 1, 2003

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2003-30 posted December 30, 2003


Author: Jimmie Lawson and Yongdo Lim

Title: The sympletic semigroup and Riccati differential equations: a case study

Keywords: sympletic group, semigroup, Hamiltonian operators, Loewner order,
control theory

Status:preprint, to be submitted

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dvi, ps, and
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2003-29 posted November 14, 2003


Author: G. Olafsson and A. Pasquale

Title: Paley-Wiener Theorems for the $\Theta$-spherical
Transform: An overview

Keywords: Spherical Fourier transform, spherical functions, harmonic
analysis, root systems, symmetric spaces


Status: Submitted, July 2003

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2003-28 posted October 21, 2003


Author: Charles N. Delzell

Title: Extension of Polya's theorem to signomials with rational exponents

Keywords:
fewnomials, positive polynomials

Status: in preparation; draft of October 3, 2003; soon to be submitted to a journal

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2003-27 posted October 21, 2003


Author: Charles N. Delzell

Title: Impossibility of C^{infinity} variation or formal
power series variation in solutions to Hilbert's 17th problem

Keywords:
sums of squares, basic closed semianalytic sets, positive semidefinite
polynomials, Weierstrass polynomials

Status: Status: J. Algebra, to appear (accepted October 6, 2003)

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2003-26 posted September 25, 2003


Author: Amha T. Lisan

Title: Structures on the isotropy groups of minimal flows

Keywords:
flow, dynamical system, left congruence, maximal group

Status: submitted for publication

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2003-25 posted September 25, 2003


Authors: J. D. Lawson and Amha T. Lisan

Title: Groups associated with Minimal Flows

Keywords:
flow, dynamical system, left congruence, maximal group

Status: Czechoslavak Math. Journal, to appear

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2003-24 posted September 17, 2003


Author: Hui-Hsiung Kuo

Title: Recent progress on the white noise approach to the Levy Laplacian

Keywords:
Gross Laplacian, Levy Laplacian, Levy group, spherical mean,
Wiener process, Fourier transform, diagonalization of Levy Laplacian,
commutator, Gaussian functionals, semigroup, stable processes

Status: submitted for publication

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2003-23 posted September 17, 2003


Authors: Luigi Accardi,
Hui-Hsiung Kuo, and Aurel Stan

Title: Characterization of certain probability measures by creation,
annihilation, and number operators

Keywords:
Interacting Fock space, Accardi-Bozejko isomorphism, commutator,
Grahm-Schmidt orthogonalization procedure, symmetric measure,
polynomially symmetric measure, product measure, polynomially
factorizable measure

Status: submitted for publication

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dvi, ps, and
pdf formats are available


2003-22 posted August 25,
2003
Authors:
Michael
Malisoff
and
Eduardo Sontag


Title: Asymptotic Controllability and Input-to-State
Stabilization: The Effect of Actuator Errors

Keywords: Feedback stabilization, control-Lyapunov functions

Status: Invited paper for Springer-Verlag book Optimal Control,
Stabilization,
and Nonsmooth Analysis

(Marcio
de Queiroz
, Michael Malisoff,
and Peter Wolenski, Eds.), to appear in 2004.

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and pdf formats are available

2003-21 posted July 30, 2003


Authors:
Daniel C. Cohen and Peter Orlik

Title: Gauss-Manin Connections for Arrangements, III,
Formal Connections

Keywords: hyperplane arrangement, local system, Gauss-Manin connection

Status: preprint 2003

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2003-20 posted July 30, 2003


Authors: R.P.Lipton, S.P.Shipman and S.Venakides

Title: Optimization of Resonances in Photonic Crystal Slabs

Keywords: transmission, scattering, variational calculus

Status: Proceedings of SPIE, Vol. 5184, pp. 168--177

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2003-19 posted July 30, 2003


Authors: S.P.Shipman and S.Venakides

Title: Resonance and Bound States in Photonic Crystal Slabs

Keywords: boundary integral, Calderon projection, scattering

Status: SIAM J. Appl. Math., Volume 64, Number 1, pp. 322--342

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2003-18 posted July 30, 2003


Authors: James Oxley, Charles Semple,
and Geoff Whittle

Title: The structure of the 3-separations of a 3-connected matroid

Status: submitted July 7, 2003

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2003-17 posted July 30, 2003


Authors: Brahim Chaourar and James Oxley

Title: On series-parallel extensions of uniform matroids

Status: to appear in European J. Combin.

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2003-16 posted July 25, 2003


Authors: Mark Davidson
and Gestur Olafsson

Title: The generalized Segal-Bargmann transform and
special functions

Status: Submitted

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2003-15 posted June 13, 2003


Authors:O. T. Dasbach and T. Li

Title:Property P for Knots admitting
Certain Gabai Disks

Status: Submitted

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2003-14 posted June 12, 2003


Authors: G. Olafsson and D. Speegle

Title:Groups and wavelets

Keywords: Wavelets, frames, wavelet sets, admissible
groups, spectral sets

Status: Submitted

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2003-13 posted April 28, 2003


Authors: G. Olafsson and A. Pasquale

Title:A Paley-Wiener Theorem for the $\Theta$-spherical
transform: The even multiplicity case

Status: Submitted

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pdf formats are available


2003-12 posted April 28, 2003


Authors: S. Gindikin, B. Kroetz, and
G. Olafsson


Title:Holomorphic H-spherical distribution vectors
in principial series representations

Status: Submitted

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pdf formats are available


2003-11 posted April 28, 2003


Authors: R. Fabec, G. Olafsson, and A. Sengupta

Title:Fock spaces corresponding to positive
definite linear transformations

Status: Submitted

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2003-10 posted April 10, 2003


Authors: J. W. Hoffman and H. H. Wang

Title: Curvilinear base points, local complete intersections
and Koszul syzygies in biprojective spaces

Status: to be submitted to a journal

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pdf formats are available


2003-9 posted February 26, 2003


Authors: K.D. Aucoin, J.A. Dumesnil, and J.A. Hildebrant

Title: The structure of commutative
semigroups with the ideal retraction property

Keywords: commutative semigroups, ideal retraction property, 2-core, zero
extension, homomorphism, periodic semigroup, ideal extension property

Status: submitted for publication in SEMIGROUP FORUM

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2003-8 posted Feb. 21, 2003


Authors:
Daniel C. Cohen,
Graham Denham, and
Alexander I. Suciu

Title: Torsion in Milnor fiber homology

Status: preprint 2003

Keywords: Milnor fibration, characteristic variety, arrangement

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2003-7 posted Feb. 6, 2003


Authors:
William Adkins and
Mark Davidson

Title: The Cayley Hamilton and Frobenius Theorems via the Laplace Transform

Keywords: Cayley Hamilton theorem,
Frobenius theorem, Laplace transform, Matrix exponential, characteristic polynomial,
minimal polynomial, formal power series

Status: accepted in the jounal of
Linear Algebra and its Applications

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and pdf formats are available


2003-6 posted Feb. 6, 2003
Authors:
Michael
Malisoff
, Ludovic
Rifford
, and
Eduardo Sontag


Title: Global Asymptotic Controllability Implies Input to State
Stabilization

Keywords: Nonsmooth analysis, control-Lyapunov functions

Status: Revised and accepted for publication in SIAM Journal on
Control
and Optimization
in August 2003.

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and pdf formats are available

2003-5 posted Feb. 6, 2003


Authors:
Daniel C. Cohen and
Alexander N. Varchenko

Title: Resonant local systems on complements of discriminantal
arrangements and sl_2 representations

Status: preprint 2002

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and pdf formats are available


2003-4 posted Feb. 5, 2003


Authors:
Daniel C. Cohen,
Alexandru Dimca,
and Peter Orlik

Title: Nonresonance conditions for arrangements

Keywords: hyperplane arrangement, local system, Milnor fiber

Status: preprint 2002

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2003-3 posted Feb. 5, 2003


Authors: Jerome W. Hoffman and
Hao Hao Wang

Title: Castelnuovo-Mumford regularity in biprojective spaces

Status: to be submitted

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2003-2 posted Feb. 5, 2003


Authors: N. Asai, I. Kubo
H.-H Kuo

Title: Multiplicative renormalization and
generating functions II

Keywords: Orthogonal polynomials, Szego-Jacobi parameters,
pre-generating functions, one-mode interating Fock space,
Segal-Bargmann transform, Hermite polynomials, Charlier
polynomials, Laguerre polynomials, Legendre polynomials,
Gegenbauer polynomials, Chebyshev polynomials, negative
binomial distributions

Status: submitted for publication

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pdf formats are available


2003-1 posted Jan. 10, 2003


Author: G. Olafsson

Title: Continuous action of Lie groups
on Rn and frames

Keywords: Wavelets, frames, group representations, discrete subgroups

Status: submitted for publication

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2002


2002-20 posted Dec. 18, 2002


Authors: M. Davidson and
G. Olafsson

Title: Differential recrsion relations for
Laguerre functions on Hermitian matrices

Keywords: Special functions, orthogonal polynomials, tube
type domains, highest weight representations, Laplace transform

Status: Journal of Integral
Transforms and Special Functions
14 469-484
(2003)

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2002-19 posted Dec. 18, 2002


Authors: B. Krotz and G. Olafsson

Title: The c-function for non-compactly
causal symmetric spaces and its relations to harmonic
analysis and representation theory

Keywords: c-function, symmetric spaces, spherical
functions, highest weight representations

Status: Amer. Math. Soc. Transl. 210 171-194 (2003)

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only pdf format is available


2002-18 posted October 8, 2002


Authors: K.D. Aucoin, J.A. Dumesnil, and J.A. Hildebrant

Title: Commutative periodic semigroups with the ideal retraction property

Keywords: periodic semigroup, ideal retraction property, index of a
semigroup, semilattice, core of an idempotent, zero extension

Status: withdrawn

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2002-17 posted October 7, 2002


Authors: J. W. Hoffman

Title: Remarks on the zeta function of a graph

Keywords: Shimura variety, automorphic form,
Bruhat-Tits building, Coxeter system

Status: submitted to the conference proceedings of the
Fourth International Conference on Dynamical Systems and Differential
Equations, August 21, 2002

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2002-16 posted October 7, 2002


Authors: J. W. Hoffman and
S. H. Weintraub

Title: Cohomology of the boundary of Siegel modular varieties of degree
two, with applications

Status: submitted to journal, August 21, 2002

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2002-15 posted October 1, 2002


Authors: Manoel Lemos and James Oxley

Title: Matroid packing and covering with circuits through an element

Status: submitted for publication on July 30, 2002

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2002-14 posted October 1, 2002


Authors:
Daniel C. Cohen and Peter Orlik

Title: Gauss-Manin Connections for Arrangements II,
Nonresonant Weights

Keywords: hyperplane arrangement, local system, Gauss-Manin connection

Status: preprint 2002

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2002-13 posted June 21, 2002
Author: M.
Malisoff


Title: Further Results on the Bellman Equation for Optimal Control
Problems with Exit Times and Nonnegative Lagrangians

Keywords: viscosity solutions, optimal control, Fuller Problem,
asymptotics of trajectories

Status: submitted for publication June 2002, to appear in
Systems and Control Letters


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2002-12 posted June 12, 2002


Authors: Nobuhiro Asai, Izumi Kubo,
Hui-Hsiung Kuo

Title:
Renormalization, orthogonalization, and generating functions

Keywords: Gram-Schmidt orthogonalization process,
generating functions, measures and orthogonal polynomials,
special distributions, classical orthogonal polynomials
(Hermite, Charlier, Laguerre, Legendre, Gegenbauer, Chebyshev)

Status: submitted for publication

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2002-11 posted June 12, 2002


Authors: Nobuhiro Asai, Izumi Kubo,
Hui-Hsiung Kuo

Title:
Gaussian and Poisson white noises with related characterization theorems

Keywords: Gel'fand triple, Boson Fock space, creation operator,
annihilation operator, classical white noise, quantum white noise,
multiple Wiener-Ito integrals, growth function, Legendre transform,
exponential vectors, Segal-Bargman transform, S-transform, J-transform,
Hida derivative, difference operator, Schrodinger representation

Status: submitted for publication

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2002-10 posted May 30, 2002


Authors: Mark Davidson,
Gestur Olafsson,
and Genkai Zhang


Title: Segal-Bargmann Transform on Hermitian Symmetric Spaces
and Orthogonal Polynomials

Keywords: Bounded domains, tube domains, Jordan algebras, highest weight representations,
restriction principle, generalized Laguerre polynomials, Laplace Transform

Status: Journal of Functional Analysis 204 157-195 (2003)

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2002-9 posted April 25, 2002


Author: James Oxley

Title: What is a matroid?

Status: submitted for publication on April 24, 2002

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2002-8 posted April 18, 2002


Authors: Manoel Lemos and James Oxley

Title: On the minor-minimal 3-connected matroids having a
fixed minor

Status: submitted for publication on March 12, 2002

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2002-7 posted April 18, 2002


Authors: James Oxley and Haidong Wu

Title: The 3-connected graphs with three non-essential edges

Status: submitted for publication on March 22, 2002

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2002-6 posted March 25, 2002


Authors: Young-Bin Choe, James G. Oxley, Alan D. Sokal, and David G.
Wagner

Title: Homogeneous Multivariate Polynomials with the Half-Plane
Property

Status: preprint

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ps and
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2002-5 posted March 25, 2002


Author: Ambar N. Sengupta

Title: Superalgebra and Differential Calculus

Keywords: differential forms, supersymmetry, non-commutative
geometry

Status: preprint

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2002-4 posted February 28, 2002


Authors:
Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

Title: Multiplicative renormalization and generating functions I

Keywords: Gram-Schmidt orthogonalization process, orthogonal
polynomials, Szego-Jacobi parameters, Fock space, Segal-Bargmann transform,
Hermite polynomials, Charlier polynomials, Laguerre polynomials,
Legendre polynomials, Gegenbauer polynomials, Chebyshev
polynomials, Orthogonal polynomials associated with geometric
distribution

Status: submitted for publication

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2002-3 posted January 24, 2002


Authors: K.D. Aucoin, J.A. Dumesnil, and J.A. Hildebrant

Title: Semigroups with the ideal retraction property

Status: accepted for publication in Semigroup Forum

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2002-2 posted January 24, 2002


Authors: R. Hall, J. Oxley, C. Semple, and G. Whittle

Title: Fork decomposition of matroids

Status: submitted for publication

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2002-1 posted January 24, 2002


Author: M. Malisoff

Title: Further Results on Lyapunov Functions and Domains of
Attraction for Perturbed Asymptotically Stable Systems

Keywords: optimal control, generalized Zubov equation, viscosity
solutions

Status: submitted for publication December 2001,
to appear in Dynamics of Continuous, Discrete, and Impulsive
Systems Series A: Mathematical Analysis


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2001


2001-32 posted December 14, 2001


Author: M. Malisoff

Title: Bounded-From-Below Solutions of the Hamilton-Jacobi Equation
for Optimal Control Problems with Exit Times: Vanishing Lagrangians,
Eikonal Equations, and Shape-From-Shading

Keywords: optimal control, dynamic programming, viscosity solutions,
exit time problems

Status: to appear in NoDEA Nonlinear Differential Equations
and Applications


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2001-31 posted December 7, 2001


Authors: S. Gindikin, B. Kroetz, and G. Olafsson

Title: Hardy spaces for non-compactly causal symmetric spaces
and the most continuous spectrum

Keywords: Hardy spaces, unitary representations, generalized Segal-Bargmann
transform, symmetric spaces, G-invariant complex domains

Status: Math. Ann.
327, 25-66 (2003)
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2001-30 posted November 19, 2001


Author:
Roman Urban


Title: Estimates for derivatives of the Green functions for the
noncoercive differential operators on homogeneous manifolds of negative
curvature

Keywords: NA groups, Bessel process, evolutions

Status: submitted for publication in May 2001

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2001-29 posted November 19, 2001


Author:
Roman Urban


Title: Estimates for derivatives of the Poisson kernels on homogeneous
manifolds of negative curvature

Keywords: NA groups, Bessel process, evolutions

Status: to appear in Math. Zeitschrift

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2001-28 posted November 12, 2001


Authors:
R. Fabec
and G. Olafsson

Title: The Continuous Wavelet Transform and Symmetric Spaces

Keywords: Wavelets, reproducing Hilbert sapces,
unitary representations, square integrable representations, symmetric spaces

Status: Dec 2002: To appear in Acta Applicandae Mathematicae

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2001-27 posted October 29, 2001


Authors: M. DeVos, G. Ding, B. Oporowski, B. Reed, D. Sanders,
P. Seymour, and D. Vertigan

Title: Excluding any graph as a minor allows a low tree-width 2-coloring

Keywords: tree-width, vertex partitions, edge partitions, small
components

Status: submitted, October 2001

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2001-26 posted October 25, 2001


Authors: Alejandro Adem,
Daniel C. Cohen, and
Frederick R. Cohen

Title: On representations and K-theory of the braid groups

Keywords: braid group, hyperplane arrangement,
homologically toroidal group, K-theory

Status: Math. Ann., to appear

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2001-25 posted October 14, 2001


Authors: John A. Hildebrant

Title: Handbook of finite poset programs

Keywords: generating posets, connected posets, posets with the
fixed point property, dimensions of a poset, adjunction of two
posets, dismanglable posets, poset graphs, products of posets

Status: prerint

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2001-24 posted October 14, 2001


Authors: John A. Hildebrant

Title: Handbook of finite semigroup programs

Keywords: generating semigroups, commutative semigroups , Green's
relations, the translational hull, homomorphism semigroups, weakly
reductive semigroups, lattice of congruences, congruence extension
property, ideal extension property, ideal semigroup, semigroup
algebras, finite semigroup actions

Status: prerint

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2001-23 posted October 14, 2001


Authors: N. Alon, G. Ding, B. Oporowski, and D. Vertigan

Title: Partitioning into graphs with only small components

Keywords: tree-width, vertex partition, edge partition

Status: submitted for publication

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2001-22 posted October 14, 2001


Author: Ambar Sengupta

Title: Connections over two-dimensional cell complexes

Keywords: symplectic, two-dimensional gauge theory, moduli space of flat connections, discrete gauge theory

Status: preprint

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2001-21 posted October 14, 2001


Author: Ambar Sengupta

Title: The volume measure for flat connections as limit of the Yang-Mills measure

Keywords: symplectic, two-dimensional gauge theory, moduli space of flat connections

Status: preprint

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dvi,
ps, and
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2001-20 posted October 14, 2001


Author: Ambar Sengupta

Title: Sewing Yang-Mills measures for non-trivial bundles

Status: preprint

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ps, and
pdf formats are available


2001-19 posted October 14, 2001


Authors: J. Geelen, J. Oxley, D. Vertigan, and G. Whittle

Title: A short proof of non-GF(5)-representability of matroids

Status: submitted for publication

Download:
ps, and
pdf formats are available


2001-18 posted September 5, 2001


Authors: L. Accardi, A. Boukas, and H.-H. Kuo

Title: On the unitarity of stochastic evolutions driven by
the square of white noise

Keywords: Ito table, quantum stochastic differential
equations, SWN operators

Status: submitted for publication

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ps, and
pdf formats are available


2001-17 posted September 5, 2001


Authors: H.-H. Kuo

Title: A quarter century of white noise theory

Keywords: Brownian motion, white noise, multiple Wiener
integral, renormalization, Gel'fand triple, generalized
functions, test functions, S-transform, characterization
theorems, applications of white noise theory

Status: submitted for publication

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ps, and
pdf formats are available


2001-16 posted September 5, 2001


Authors: H.-H. Kuo, N. Obata, and K. Saito

Title: White noise analysis based on the Levy Laplacian

Keywords: generalized functions, S-transform, eigenfunctions,
equi-continuous semigroup, exponential coordinate change,
diagonalization of Levy Laplacian

Status: submitted for publication

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pdf formats are available


2001-15 posted September 5, 2001


Authors: H.-H. Kuo, K. Saito, and A. Stan

Title: A Hausdorff-Young inequality for white noise analysis

Keywords: Young inequality, Fourier transform,
S-transform, Segal-Bargmann transform. convolution,
Wick product

Status: submitted for publication

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ps, and
pdf formats are available


2001-14 posted September 4, 2001


Authors: N. Asai, I. Kubo, and H.-H. Kuo

Title: Segal-Bargmann transforms of one-mode
interacting Fock spaces associated with Gaussian and
Poisson measures

Keywords: coherent vector, space of square integrable
analytic functions, decomposition of multiplication operator

Status: submitted for publication

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ps, and
pdf formats are available


2001-13 posted July 5, 2001


Authors: M. Davidson,
G. Olafsson
, and G. Zhang

Title: Laguerre Polynomials, Restriction Principle,
and Holomorphic Representations of SL(2,R)

Status: To appear in Acta Applicandae Mathematicae

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ps, and
pdf formats are available


2001-12 posted June 29, 2001


Authors: Manoel Lemos and James Oxley

Title: On removable cycles through every edge

Status: submitted for publication May 2001

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pdf formats are available


2001-11 posted June 29, 2001


Authors: James Oxley and Dominic Welsh

Title: Chromatic, flow, and reliability polynomials: the complexity of their coefficients

Status: submitted for publication May 2001

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pdf formats are available


2001-10 posted June 29, 2001


Author: James Oxley

Title: On the interplay between graphs and matroids

Status: submitted for publication November 2000, to appear in Surveys in Combinatorics, 2001

Download: ps, and
pdf formats are available


2001-9 posted June 28, 2001


Authors: Rhiannon Hall, James Oxley, Charles Semple, and Geoff Whittle

Title: On matroids of branch-width three

Status: submitted for publication May 2001

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pdf formats are available


2001-8 posted June 1, 2001


Author:
Helge Glöckner

Title: Lie Group Structures on Quotient Groups and Universal
Complexifications for Infinite-Dimensional Lie Groups

Keywords: infinite-dimensional Lie groups, BCH-Lie groups,
Campbell-Hausdorff series, mapping groups, gauge groups, loop groups,
test function groups, quotient groups, direct limits of Lie groups,
enlargibility, Lie subgroups, universal complexifications


Status: submitted in May 2001

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2001-7 posted June 1, 2001


Author:
Helge Glöckner

Title: Infinite-Dimensional Lie Groups without Completeness Restrictions

Keywords: sequentially complete spaces, smooth mappings,
analytic mappings, fundamental theorem of calculus, infinite-dimensional
Lie groups, quotients of Lie groups,
universal complexifications, good Lie groups,
mapping groups, test function groups

Status: submitted in March 2001

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2001-6 posted June 1, 2001


Authors:
Daniel C. Cohen and Peter Orlik

Title: Gauss-Manin Connections for Arrangements, I   Eigenvalues

Keywords: hyperplane arrangement, local system, Gauss-Manin connection

Status: Compositio Math. 136 (2003), 299-316

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2001-5 posted May 31, 2001


Author:
Daniel C. Cohen

Title: Triples of arrangements and local systems

Keywords: arrangement, local system, characteristic variety,
translated torus

Status: Proc. Amer. Math. Soc.,
130 (2002), 3025-3031

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ps, and pdf
formats are available. The entire article is available
here.



2001-4 posted April 12, 2001


Authors:
Helge Glöckner and Karl-Hermann Neeb

Title: Banach-Lie quotients, enlargibility, and universal complexifications

Keywords: Banach-Lie groups, Lie group structures on quotient groups,
non-enlargible Lie algebras, period groups, elliptic groups, universal
enlargible envelopes,
direct products of Banach-Lie algebras, direct products of Banach-Lie
groups

Status: submitted in April 2001

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pdf
formats are available


2001-3 posted March 12, 2001


Authors:
Gestur Olafsson and Angela Pasquale

Title: Regularity properties of generalized Harish-Chandra
expansions

Keywords: Spherical functions, hypergeometric functions, rooth systems

Status: In: Banach Center Publications 55, 2002

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ps, and
pdf
formats are available


2001-2 posted March 6, 2001


Authors:
Robert Osburn

Title: Densities of 4-ranks of K2(O)

Status: submitted in January 2001

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pdf
formats are available


2001-1 posted March 5, 2001


Authors:
Patrick Gilmer
and Jianyuan K. Zhong

Title: The Homflypt skein module of a connected sum of 3-manifolds

Status: submitted in December 2000

Download: ps
format is available




2000

2000-25 posted November 12, 2000


Author: James Oxley

Title: The Structure of a 3-Connected Matroid with a 3-Separating Set
of Essential Elements

Status: submitted for publication November 2000

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pdf formats are available


2000-24 posted November 8, 2000


Authors: N. B. Andersen,
G. Olafsson
, and H. Schlichtkrull

Title: On the inversion of the Laplace and Abel transforms
for causal symmetric spaces

Keywords: Causal symmetric spaces, spherical functions, Paley-Wiener
theorems, Laplace transform, Abel transform, semigroups

Status: To appear in Forum Math.

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ps, and
pdf format is available


2000-23 posted October 16, 2000


Authors: B. Baeumer,
G. Lumer, and
F. Neubrander

Title: Convolution kernels and generalized functions

Status: Generalized Functions, Operator Theory, and Dynamical Systems
C.R.C. Res. Notes Math., Chapman Hall, 1998

Download abstract: text format is available


2000-22 posted October 16, 2000


Authors: H.-H. Kuo, N. Obata, K. Saito

Title: Diagonalization of the Levy
Laplacian and related stable processes

Keywords: Levy Laplacian, white noise theory,
Yang-Mills equation, generalized functionals, test
functionals, Wiener-Ito decomposition, S-transform,
equi-continuous semigroup, infinitesimal generator,
eigenfunctions, diagonalization, stable process

Status: submitted for publication in September 2000

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ps, and
pdf formats are available


2000-21 posted October 16, 2000


Authors: L. Accardi, T. Hida, H.-H. Kuo

Title: The Ito table of the square of white noise

Keywords: Ito table, square of white noise, quantum
white noise, SWN algebra finite difference algebra,
Hudson-Parthasarathy stochastic integration,
exponential vectors, vacuum vector

Status: submitted for publication in September 2000

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pdf formats are available


2000-20 posted September 19, 2000


Authors: Manoel Lemos and James Oxley

Title: On the minor-minimal 2-connected graphs having a fixed minor

Status: submitted for publication in September 2000

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pdf formats are available


2000-19 posted September 5, 2000


Author: R. Fabec and G. Olafsson

Title: Fock spaces corresponding to
positive definite linear transformations

Keywords: Fock spaces, Hilbert spaces of holomorphic functions,
Segal-Bargmann transform, Restriction principle

Status: submitted for publication

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pdf formats are available


2000-18 posted August 31, 2000


Author: Daniel S. Sage

Title: Group actions on central simple algebras

Keywords: Invariant subalgebras, invariant ideals

Status: submitted for publication

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2000-17 posted August 31, 2000


Author: Daniel S. Sage

Title: The geometry of fixed point varieties on affine flag manifolds

Status: Trans. Amer. Math. Soc. 352 (2000), 2087-2119

Download abstract: dvi, ps, and pdf formats are available


2000-16 posted August 24, 2000


Author: H.-H. Kuo

Title: Growth functions for generalized functions on white noise space

Keywords: growth functions, generalized functions,
CKS-space, S-transform, characterization theorem, Legendre transform,
dual Legendre transform, potential functions, Feynman integrals

Status: submitted for publication

Download: dvi, ps, and pdf formats are available


2000-15 posted August 24, 2000


Author: H.-H. Kuo

Title: Growth functions in white noise theory

Keywords: white noise theory, growth functions, test functions,
generalized functions, S-transform, Hida-Kubo-Takenaka space, Kondratiev-Streit space,
Bell number space, CKS-space, Legendre transform, dual Legendre transform, Feynman integrals

Status: invited paper for the Soochow Journal of Mathematics

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2000-14 posted August 24, 2000

Authors:
Patrick Gilmer
and Jianyuan Zhong

Title: The Homflypt skein module of S1xS2

Status: submitted in December 1999, to appear in Math. Zeit.

Download: ps
format is available


2000-13 posted July 19, 2000

Author:
Gestur Olafsson
and Angela Pasquale

Title: On the meromorphic extension
of the spherical functions on noncompactly causal symmetric spaces

Keywords: Ordered symmetric spaces, Bernstein polynomials, c-function

Status: Journal of
Functional Analysis
181 (2001), 346--401

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ps, and
pdf
formats are available


2000-12 posted July 19, 2000

Author:
Gestur Olafsson

Title: Analytic Continuation in Representation Theory
and Harmonic Analysis

Keywords: highest weight representations, semigroups, Bargmann transform,
relative discrete series, H-spherical distribution characters, symmetric spaces,
reflection positivity, restriction of representations

Status: Global Analysis and Harmonic Analysis, Seminaires et Congres - 4: Ed. J. P. Bourguignon,
T. Branson, and O. Hijazi

Download: Seminaires et
Congres -4
,


2000-11 posted June 16, 2000


Author:
Bogdan Oporowski

Title: Partitioning matroids with only small cocircuits

Keywords: partition, matroid, cocircuit, coloring, small connected component

Status: submitted in June 2000

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formats are available


2000-10 posted May 15, 2000


Authors:
Daniel C. Cohen, Frederick R. Cohen, and Miguel Xicoténcatl

Title: Lie algebras associated to fiber-type arrangements

Keywords: fiber-type arrangement, descending central series,
loop space homology

Status: Int. Math. Res. Not.
2003, no. 29, 1591-1621

Download: The abstract is available
here


2000-9 posted May 4, 2000


Authors: J. William Hoffman, James J. Madden, and Hong Zhang

Title: Pseudozeros of multivariate polynomials

Keywords: multivariate polynomial, pseudozeros, semialgebraic set, algorithm

Status:

Download: dvi, ps, and pdf formats are available


2000-8 posted April 18, 2000


Author: H.-H. Kuo

Title: Wiener-Ito decomposition

Keywords: orthogonal decomposition, Gaussian space,
abstract Wiener space, homogeneous chaos, Fock space,
Hermite polynomials, classical Wiener space, multiple
Wiener integrals

Status: invited entry for the Kluwer
Encyclopaedia of Mathematics, Supplement III

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2000-7 posted April 18, 2000


Author:
Paul B. van Wamelen

Title: Jacobi sums over finite fields

Keywords: cyclotomic numbers, fast computation

Status: Submitted to Acta Arithmetica, March 13, 2000, last revised February 2000

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pdf formats are available.


2000-6 posted March 30, 2000


Authors:
J. W. Hoffman and Steven H. Weintraub

Title: Four dimensional symplectic geometry over the field with
three elements and a moduli space of abelian surfaces

Keywords: nsp-spread, double - six, orthogonal, symplectic, Siegel
modular variety, Burkhardt quartic

Status: submitted for publication in July, 2000

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2000-5 posted March 30, 2000


Authors:
N. Asai, I. Kubo, H.-H. Kuo

Title: Characterization of Hida measures in white noise analysis

Keywords: Gel'fand triple, growth function, Legendre
transform, test functions, generalized function, Hida
measure, characterization of Hida measures

Status: submitted for publication on February, 2000

Download: dvi, ps, and pdf formats are available


2000-4 posted February 29, 2000


Authors:
N. Asai, I. Kubo, H.-H. Kuo

Title: Feynman integrals associated with Albeverio-Hoegh-Krohn potentials

Keywords: Feynman integral, Feynman integrand,
Schrodinger equation, Albeverio-Hoegh-Krohn potential,
Dyson series, white noise space, Gel'fand triple,
growth function, Legendre transform, test function,
generalized function, S-transform, dual Legendre
transform, characterization theorem, Donsker's delta
function

Status: submitted for publication on February 11, 2000

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2000-3 posted February 4, 2000


Authors:
Gestur Olafsson

Title: The c-function for a semisimple symmetric space

Keywords: Symmetric spaces, spherical functions, Fourier transform,
Laplace transform, the Harish-Chandra c-function

Status: In: Proceedings of the III International Workshop: Lie Theory
and its Applications in Physics, III. Ed. H.-D. Doebner, V. K. Dobrev, J. Hilgert.
World Scientific, 2000

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2000-2 posted February 4, 2000


Authors:
N. Asai, I. Kubo, H.-H. Kuo

Title: General characterization theorems and intrinsic topologies in white noise analysis

Keywords: characterization theorems, intrinsic topology, log-convexity,
log-concavity, Legendre transform, dual Legendre transform, growth function,
CKS-space, Hida measure, generalized function, test function, S-transform,
equivalence of functions, equivalence of sequences

Status: submitted for publication on February 3, 2000

Download: dvi, ps, and pdf formats are available


2000-1 posted January 31, 2000


Authors:
Daniel C. Cohen and Peter Orlik

Title: Some cyclic covers of complements of arrangements

Keywords: hyperplane arrangement, Milnor fibration, cyclic cover, local system, polynomial periodicity

Status: Topology Appl. 118 (2002), 3 - 15

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1999

1999-28 posted April 18, 2000


Authors:
Paul B. van Wamelen, Z. Li, and S.S. Iyengar

Title: A fast algorithm for the point pattern matching problem

Keywords: Diophantine equations

Status: submitted to IEEE Transactions on Pattern Analysis and Machine Intelligence, Dec 10, 1999, last revised Dec 1999

Download: dvi, ps, and
pdf formats are available.


1999-27 posted April 18, 2000


Authors:
John Dittmann and Bogdan Oporowski

Title: Unavoidable minors of graphs of large type

Status: submitted for publication

Download: dvi, ps, and pdf formats are available


1999-26 posted December 14, 1999


Author: H.-H. Kuo

Title: White noise theory

Keywords: Ch. 1: Introduction, Ch. 2: White noise
as a distribution theoyr, Ch. 3: General spaces of
test and generalized functions, Ch. 4: Continuous
versions and analytic extensions,
Ch. 5: Characterization theorems, Ch. 6: Continuous
operators and adjoints, Ch. 7: Comments on other
topics and applications.

Status: submitted for publication on
December 9, 1999. This is a part of the book "Handbook
of Stochastic Analysis and Applications,"
edited by
D. Kannan and V. Lakshmikantham, Marcel Dekker, Inc.

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pdf formats are available


1999-25 posted November 23, 1999


Author: H.-H. Kuo

Title: Some aspects of white noise analysis

Keywords: stochastic integration, abstract Wiener
space, Donsker's delta function, Fourier transform,
test functions, generalized functions, Gel'fand
triple, Wiener-Ito theorem, Bell numbers, S-transform,
characterization theorems, grey noise, Poisson noise,
Legendre transform, dual Legendre transform, growth
functions, Wick tensors, distribution theory, Laplacian
operators, Fourier-Gauss transform, log-concavity,
log-convexity

Status: submitted for publication on
November 1, 1999

Download: dvi,
ps, and
pdf formats are available


1999-24 posted November 22, 1999


Authors: N. Asai, I. Kubo, and H.-H. Kuo

Title: CKS-space in terms of growth functions

Keywords: Hida distributions, test functions,
Legendre transform, dual Legendre transform,
characterization theorems, generating functions,
log-concave, log-convex, (log, exp)-convex,
(log, x^2)-convex, L-function, L^#-function,
Bell's numbers

Status: submitted for publication on
October 14, 1999

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ps, and
pdf formats are available


1999-23 posted November 22, 1999


Authors: N. Asai, I. Kubo, and H.-H. Kuo

Title: Log-concavity, log-convexity, and growth order in white
noise analysis

Keywords: Wiener-Ito decomposition, test function,
generalized function, exponential generating function,
(log, exp)-convex, (log, x^k)-convex, Legendre transform,
inverse Legendre transform, L-function, dual Legendre
transform, Bell numbers, Hida-Kubo-Takenaka space,
Kondratiev-Streit space, Cochran-Kuo-Sengupta space,
holomorphic function

Status: submitted for publication on
October 1, 1999

Download: dvi,
ps, and
pdf formats are available


1999-22 posted November 22, 1999


Authors: N. Asai, I. Kubo, and H.-H. Kuo

Title: Characterization of test functions in CKS-space

Keywords: exponential generating function, S-transform,
log-concave, log-convex, Bell numbers

Status: accepted for publication in the
Proceedings of International Conference on Mathematical
Physics and Stochastic Processes
, A. Albeverio et al.
(eds.) World Scientific

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ps, and
pdf formats are available


1999-21 posted November 18, 1999


Authors: N. Asai, I. Kubo, and H.-H. Kuo

Title: Bell numbers, log-concavity, and log-convexity

Keywords: Bender-Canfield theorem, test function,
generalized function, characterization theorem

Status: Accepted for publication in the book
"Classical and Quantum White Noise", L. Accardi
(eds.) Kluwer Academic Publishers

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ps, and
pdf formats are available


1999-20 posted November 18, 1999


Authors: Y.-J. Lee, H.-H. Kuo, and C.-Y. Shih

Title: Wiener-Ito theorem in terms of Wick tensors

Keywords: white noise analysis, Wiener measure, multiple Wiener
integral, homogeneous chaos, Hermite polynomials

Status: Accepted for publication in the book
"Classical and Quantum White Noise", L. Accardi
(eds.) Kluwer Academic Publishers

Download: dvi,
ps, and
pdf formats are available


1999-19 posted October 27, 1999


Authors:
Daniel C. Cohen

Title: Monodromy of fiber-type arrangements and orbit configuration
spaces

Keywords: monomial braid group, strongly poly-free group,
Whitehead group, lower central series

Status: Forum Math. 13 (2000), 505-530

Download abstract: dvi, ps, and
pdf formats are available


1999-18 posted October 27, 1999


Authors: Nils Byrial Andersen

Title: Paley-Wiener Theorems For Hyperbolic Spaces

Keywords: Eisenstein series, jacobi functions, L^p - Schwartz
functions and spaces, K-types, SL(2,R), discrete series, principal
series, Poisson transform, Gegenbauer polynomials

Status: Accepted for publication in "Journal of
Functional Analysis" as of Sept. 8, 2000

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pdf formats are available


1999-17 posted October 27, 1999


Authors: Nils Byrial Andersen and
Jérémie M. Unterberger

Title: An application of Shift Operators to ordered symmetric spaces

Keywords: Spherical functions, spherical Laplace and Fourier transforms,
Paley-Wiener theorem, BC_n type root systems, Harish-Chandra and
Olafsson expansion formulae

Status: accepted for publication in Journal of Functional Analysis

Download: dvi, ps, and
pdf formats are available


1999-16 posted September 20, 1999


Authors: Palle E.T. Jorgensen and
Gestur Olafsson

Title: Osterwalder-Schrader Axioms - Wightman Axioms

Keywords: Quantum field theory, unitary representations, reflection
symmetry, Poincaré group

Status: Encyclopedia of Mathematics, Supplement II Kluver 2000

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pdf formats are available


1999-15 posted September 20, 1999


Authors: Gestur Olafsson

Title: Unitary Representations with Reflection Symmetry

Keywords: Unitary representations, reflection
symmetry, c-duality, Quantum field theory, Positivity, Invariant cones

Status: Preprint, January 1998. In: Proceedings of an International
Workshop on Lie Theory and its applications in physics
Ed.
H-D. Dobner, V. K. Dobrev, J. Hilgert.
World Scientific, 1999

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pdf formats are available


1999-14 posted September 16, 1999


Authors: Patrick M. Gilmer

Title: Quantum invariants of periodic three-manifolds

Keywords: p-group action, lens space, quantum invariant,
Turaev-Viro invariant, branched cover, Jones polynomial, Arf invariant

Status: submitted February 1999,
Geometry and Topology Monographs 2 (1999), Proceedings of the Kirbyfest, 157-175

Download: Abstract is available in the
dvi, ps,
and pdf formats.
The paper is available at the journal's web site.


1999-13 posted September 16, 1999


Authors: Guoli Ding and Wenan Zang

Title: Packing cycles in graphs

Keywords: minimax theorem, induced subgraph

Status: submitted September 1999

Download: dvi, ps, and
pdf formats are available


1999-12 posted September 16, 1999


Authors: Robert Park and Leonard Richardson

Title: Pompeiu Sets on Compact Heisenberg Manifolds

Keywords: Heisenberg group, quasi-regular representation

Status: Journal of Fourier Analysis and Applications 6, 43-54 (2000)

Download abstract: dvi, ps, and
pdf formats are available


1999-11 posted September 14, 1999


Authors: P. E. Conner and J. Hurrelbrink

Title: On the tame kernel

Keywords: unramified cyclic degree 4 extension, positive definite binary
quadratic forms, densities

Status: preprint

Download: dvi, ps, and
pdf formats are available


1999-10 posted September 14, 1999


Authors: J. W. Hoffman and
S. H. Weintraub

Title: The Siegel modular variety of degree two and level three

Status: Submitted April 1999. To appear in Trans AMS

Download: dvi, ps, and
pdf formats are available


1999-9 posted September 9, 1999


Authors: James Oxley,
Charles Semple, Dirk Vertigan, and Geoff Whittle

Title: Infinite antichains of matroids with characteristic set p

Status: submitted for publication April 1999, Discrete Math., to appear

Download: ps format is available


1999-8 posted July 19, 1999


Authors:
Daniel C. Cohen and
Peter Orlik

Title: Arrangements and local systems

Keywords: hyperplane arrangement, local system, Orlik-Solomon algebra,
resonance variety, cohomology support locus

Status: Math. Res. Lett. 7 (2000), 299-316

Download abstract: dvi, ps, and
pdf formats are available


1999-7 posted July 12, 1999


Authors: James Oxley and
Geoff Whittle

Title: On the non-uniqueness of q-cones of matroids

Status: submitted for publication April 1999,
Discrete Math. 218 (2000), 271-275

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ps, and
pdf formats are available


1999-6 posted July 12, 1999


Authors: Manoel Lemos and
James Oxley

Title: A sharp bound on the size of a connected matroid

Status: submitted for publication April 1999,
Trans. Amer. Math. Soc., to appear

Download: dvi,
ps, and
pdf formats are available


1999-5 posted July 12, 1999


Authors:
James Geelen,
James Oxley,
Dirk Vertigan, and
Geoff Whittle

Title: On totally free expansions of matroids

Status: submitted for publication March 1999

Download: dvi,
ps, and
pdf formats are available


1999-4 posted May 25, 1999


Authors:
Robin Blankenship and
Bogdan Oporowski

Title: Drawing subdivisions of complete and complete bipartite
graphs on books

Keywords: embedding, book-thickness, Ramsey theory

Status: submitted for publication May 1999

Download: dvi,
ps, and
pdf formats are available


1999-3 posted May 12, 1999


Authors: J. W. Hoffman and J. Morales

Title: Arithmetic of binary cubic forms

Keywords: quadratic form, Clifford algebra, Eisenstein

Status: submitted in May 1999, L'Enseignment Mathemetique 46 (2000), 61-94.

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ps, and
pdf formats are available


1999-2 posted May 6, 1999


Author: Bernhard Kroetz and
Gestur Olafsson

Title: The c-function for non-compactly causal symmetric spaces

Keywords: spherical functions, real symmetric domains, symmetric spaces

Status: To appear in Inventiones mathematicae


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ps, and
pdf formats are available


1999-1 posted May 4, 1999


Authors:
Katie Evans, Michael Konikoff, Rebecca Mathis,
James J. Madden, and Gretchen Whipple

Title: Totally ordered commutative monoids

Keywords: semigroup, ordered ring

Status: submitted April 20, 1999 last revised April 3, 1999

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pdf formats are available




1998

1998-23 posted May 4, 2000


Authors: Simone Flory, Jamiiru Luttamaguzi, Michael Tisher, and Hong Zhang

Title: Pseudospectra of companion matrices
and their potential impact on polynomial algorithms

Keywords: pseudospectra, eigenvalues, numerical condition, algorithm

Status: Proceedings of the First Southern Symposium on Computing, Hattiesburg, Mississippi, December 4-5, 1998

Download: ps and pdf formats are available


1998-22 posted May 4, 1999


Author:
Paul B. van Wamelen

Title: The maximum number of unit distances among n points in dimension four

Keywords: Diophantine equations

Status: submitted in 1998, appeared in Contributions to Algebra and Geometry 40 (1999), no. 2, 475-477

Download abstract: dvi, ps, and
pdf formats are available.


1998-21 posted September 20, 1999


Authors: Palle E.T. Jorgensen and
Gestur Olafsson

Title:Unitary Representations of Lie Groups
with Reflection Symmetry

Keywords: Duality of symmetric spaces, analytic continuation of
representations, highest weight representations, complementary series,
Luescher-Mack theorem

Status: Preprint 1996. In J. Funct. Anal. 158 (1998),
26-88

Download the introduction: dvi, ps, and
pdf formats are available


1998-20 posted September 20, 1999


Authors: Gestur Olafsson

Title: Open Problems in Harmonic Analysis on Causal Symmetric Spaces

Keywords: Causal symmetric spaces, Hardy spaces, holomorphic discrete
series, invariant cones, Laplace transform, spherical functions, Volterra
kernel

Status: In:
Positivity in Lie Theory; Open Problems
Ed.:
J. Hilgert, J.D. Lawson, K-H. Neeb, E.B. Vinberg. De Gruyter 1998

Download: dvi, ps, and
pdf formats are available


1998-19 posted September 3, 1999


Authors:
Jurgen Hurrelbrink and Ulf Rehmann

Title: Splitting patterns and trace forms

Status: appeared in Canad. Math. Bull. Vol. 41 (1), 1998, 71-78

Download abstract: dvi, ps, and
pdf formats are available


1998-18 posted September 3, 1999


Authors:
Jurgen Hurrelbrink and Ulf Rehmann

Title: Splitting patterns and linear combinations of two Pfister forms

Status: appeared in J. reine angew. Math. 495 (1998), 163-174

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1998-17 posted September 3, 1999


Authors:
Jurgen Hurrelbrink and Manfred Kolster

Title: Tame kernels under relative quadratic extensions and Hilbert symbols

Status: appeared in J. reine angew. Math. 499 (1998), 145-188

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1998-16 posted September 3, 1999


Author:
Patrick M. Gilmer

Title: Skein theory and Witten-Reshetikhin-Turaev Invariants of links in lens spaces

Keywords: Gauss Sum

Status: submitted February 1998, Commun. Math. Phys. 202, 411-419 (1999)

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1998-15 posted July 12, 1999


Authors: Manoel Lemos and
James Oxley

Title: On size, circumference and circuit removal in
3-connected matroids

Status: submitted for publication June 1998,
Discrete Math. 220 (2000), 145-157

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1998-14 posted July 9, 1999


Authors:
James Oxley,
Charles Semple, and Dirk Vertigan

Title: Generalized Delta-Wye exchange and k-regular matroids

Status: submitted for publication September 1998,
J. Combin. Theory Ser. B 79 (2000), 1-65

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pdf formats are available


1998-13 posted July 9, 1999


Authors: Manoel Lemos and
James Oxley

Title: On the 3-connected matroids that are minimal having a
fixed spanning restriction

Status: submitted for publication June 1998,
Discrete Math. 218 (2000), 131-165

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ps, and
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1998-12 posted July 9, 1999


Authors: Manoel Lemos,
James Oxley, and
Talmage James Reid

Title: On the 3-connected matroids that are minimal having a
fixed restriction

Status: submitted for publication June 1998,
Graphs Combin. 16 (2000), 285-318

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ps, and
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1998-11 posted June 1, 1999


Authors: Mark G. Davidson and Ronald J. Stanke

Title: Ladder representation norms for hermitian symmetric groups

Keywords: semisimple Lie groups, group representations, unitary structures

Status: submitted for publication December 1998, to appear in J. Lie Theory, last revised
April 1999

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1998-10 posted May 14, 1999


Author: Jorge Morales

Title: L'invariant de Hasse-Witt de la forme de Killing (in French)

Keywords: semisimple Lie algebras, linear algebraic groups,
quadratic forms, Galois cohomology

Status: submitted March 1998, accepted May 1998, appeared in

Canadian Journal of Mathematics
50 (1998), 1323-1336

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1998-9 posted May 14, 1999


Authors: Laura Fainsilber and Jorge Morales

Title: An injectivity result for hermitian forms over local orders

Keywords: orders over local fields, hermitian categories, hermitian K-theory

Status: submitted February 1998, appeared in the Illinois Journal of Mathematics
43, No. 2 (1999), 391-402

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1998-8 posted May 6, 1999


Author:
Daniel C. Cohen

Title: On the Cohomology of Discriminantal Arrangements and Orlik-Solomon Algebras

Keywords:local system, resolution, cohomology support locus, resonant variety

Status: Arrangements - Tokyo 1998 (M. Falk, H. Terao, eds.),
Adv. Stud. Pure Math., vol. 27, Math. Soc. Japan, 2000, pp. 27-49

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1998-7 posted May 6, 1999


Authors:
Daniel C. Cohen and
Alexander I. Suciu

Title: Characteristic varieties of arrangements

Keywords: Alexander invariant, local system, cohomology support locus,
Orlik-Solomon algebra

Status:
Math. Proc. Cambridge Philos. Soc.
127 (1999), 33-54

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1998-6 posted May 4, 1999


Author:
Paul B. van Wamelen

Title: Poonen's question concerning isogenies between Smart's genus 2 curves

Keywords: hyperelliptic curves, theta functions

Status: submitted in 1998, accepted for publication in
Math. Comp.,
last revised February 1999

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pdf formats are available.
See also Isogenies
for Smart's curves.



1998-5 posted May 4, 1999


Authors:

Palle E. T. Jorgensen
and Gestur Olafsson

Title: Unitary representations and Osterwalder-Schrader duality

Keywords: Duality of symmetric spaces, analytic continuation of
representations, highest weight representations, complementary series,
Luescher-Mack theorem

Status: submitted Dec. 30, 1998, final version May 1999. To appear in
Ed. R. Doran and V. S. Varadarajan:
The Legacy of Harish-Chandra: A Celebration of Representation
Theory and Harmonic Analysis, Proceedings of Symposia in Pure Mathematics

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1998-4 posted May 4, 1999


Authors:
Nils Byrial Andersen and Gestur Olafsson

Title: A Paley Wiener Theorem for the spherical Laplace transform
on causal symmetric spaces of rank 1

Keywords: causal symmetric spaces

Status: submitted Nov. 22, 1998, to appear in Proceedings of the AMS

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pdf formats are available


1998-3 posted May 4, 1999


Authors: Bernhard Kroetz, Karl-Hermann Neeb
and Gestur Olafsson

Title: Spherical functions on mixed symmetric spaces

Keywords: symmetric spaces, invariant cones, semigroups

Status: preprint 1998, new version and submitted April 22, 1999

Download: dvi


1998-2 posted May 4, 1999


Authors: A. G. Helminck,
Joachim Hilgert
, Andreas Neumann
and Gestur Olafsson

Title: A conjugacy theorem for symmetric spaces

Keywords: symmetric spaces, Cartan spaces, conjugacy classes

Status: submitted April 28, 1998, Mathematische Annalen 313
785-791 (1999)

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pdf formats are available


1998-1 posted May 4, 1999


Authors: Frank Betten and
Gestur Olafsson

Title: Causal compactification and Hardy spaces for spaces
of hermitian type

Keywords: Hardy spaces, causal compactification, causal symmetric
spaces, holomorphic discrete series

Status: preprint March 1998, new version and resubmitted Dec. 1998

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pdf formats are available




1997

1997-15 posted September 20, 1999


Authors: T. Branson and
Gestur Olafsson

Title: Helmholtz Operators and Symmetric Space Duality

Keywords: Wave equation, fundamental solution, Huygens' principle,
symmetric space duality

Status: In: Invent. Math. 129 (1997),
63-74

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pdf formats are available


1997-14 posted September 20, 1999


Authors: B. Krotz, K-H. Neeb and
Gestur Olafsson

Title: Spherical Representations and Mixed Symmetric Spaces

Keywords: Causal symmetric spaces, highest weight representations, H-spherical
representations

Status: In: Representation Theory 1 (1997),
424-461

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pdf formats are available


1997-13 posted September 3, 1999


Author:
Patrick M. Gilmer

Title: Floppy curves with applications to real algebraic curves

Status: submitted April 1997, Real Algebraic Geomerty and Ordered
Systems
, ed. C. Delzell, and J. Madden, Contemp. Math. 253, Amer. Math. Soc. (2000) 39-76

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ps and
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1997-12 posted September 3, 1999


Author:
Patrick M. Gilmer

Title: Topological quantum field theory and strong shift equivalence

Keywords: knot, link, symbolic dynamics

Status: sumbmitted August 1997, Canad Math. Bull. 42, 190-197 (1999)

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pdf formats are available


1997-11 posted September 1, 1999


Author:
Patrick M. Gilmer

Title: On the Witten-Reshetikhin-Turaev representations of mapping class groups

Keywords: TQFT

Status: submitted June 1997,
appeared Proc. Amer. Math. Soc. 127 (1999), no. 8, 2483-2488

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pdf formats are available


1997-10 posted July 9, 1999


Authors: James Geelen,
James Oxley,
Dirk Vertigan, and
Geoff Whittle

Title: On the excluded minors for quarternary matroids

Status: submitted for publication June 1997,
J. Combin. Theory Ser. B 80 (2000), 57-68

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pdf formats are available


1997-9 posted July 9, 1999


Authors: James Oxley and
Haidong Wu

Title: Matroids and graphs with few non-essential elements

Status: submitted for publication December 1997,
Graphs Combin. 16 (2000), 199-229

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ps, and
pdf formats are available


1997-8 posted May 14, 1999


Authors: Rosali Brusamarello and Jorge Morales

Title: On the second Stiefel-Whitney class of scaled trace forms
of central simple algebras

Keywords: quadratic forms, linear algebraic groups, Galois cohomology

Status: submitted October 1997, Journal of the London Mathematical Society (2) 61 (2000), no. 2, 335-348

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ps, and
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1997-7 posted May 10, 1999


Authors:
Bogdan Oporowski,
James Oxley, and
Geoff Whittle

Title: On the excluded minors for the matroids that are either binary or ternary

Keywords: circuit-hyperplane relaxation

Status: submitted to a journal September 1997, last revised September 1997

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ps, and
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1997-6 posted May 6, 1999


Author:
Daniel C. Cohen

Title: Morse inequalities for arrangements

Keywords: local system, stratified Morse theory

Status:
Adv. Math.
134 (1998), 43-45

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pdf formats are available


1997-5 posted May 6, 1999


Authors:
Daniel C. Cohen and
Alexander I. Suciu

Title: Alexander invariants of complex hyperplane arrangements

Keywords: braid monodromy, Chen groups

Status:
Trans. Amer. Math. Soc.
351 (1999), 4043-4067

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pdf formats are available


1997-4 posted May 4, 1999


Author:
Paul B. van Wamelen

Title: Proving that a genus 2 curve has complex multiplication

Keywords: hyperelliptic curves, theta functions

Status: submitted in 1997, appeared in
Math. Comp. 68 (1999) no. 228, 1663-1677

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pdf formats are available.
The complete data is here:
Genus 2 CM curves defined over
the rationals
.


1997-3 posted May 4, 1999


Authors:Andreas Neumann and
Gestur Olafsson

Title: Minimal and maximal semigroups related to
causal symmetric spaces

Keywords: semigroups, invariant cones, causal symmetric spaces,
coset decomposition

Status: preprint 1997, final version February 4, 1999, to appear in
Semigroup Forum

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pdf formats are available


1997-2 posted May 4, 1999


Author: Gestur Olafsson

Title: Spherical functions and spherical Laplace transform on ordered
symmetric spaces

Keywords: symmetric spaces, spherical functions, Laplace transform

Status: preprint 1997, in revision

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pdf formats are available


1997-1 posted May 4, 1999


Authors:

T. Branson
and Gestur Olafsson

Title: Asymptotics of the D'Alembertian with Potential
on a Pseudo-Riemannian Manifold

Keywords: Wave equation, Fundamental solution, Huygens' principle

Status: Preprint 1997. Appeared in Proceedings of the AMS
127 (1999), 1339-1345

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pdf formats are available




1996

1996-12 posted September 20, 1999


Authors:
Joachim Hilgert
and Gestur Olafsson

Title: Causal Symmetric Spaces, Geometry and Harmonic Analysis

Keywords: Lie groups, symmetric pairs, causal symmetric spaces, classification,
structure theory of causal symmetric spaces, convexity theorem, semigroups, highest weight
representations, spherical functions, Laplace transform, Wiener-Hopf operators

Status: Prespectives in Mathematics 18 Academic Press, 1996

Download table of contents and introduction: dvi,
ps, and
pdf formats are available


1996-11 posted September 20, 1999


Authors: Gestur Olafsson and
Bent Ørsted

Title: Generalization of the Bargmann Transform

Keywords: Bargmann transform, Fock space, Hall transform, holomorphic
discrete series, restriction principle

Status: Proceedings of an International
Workshop on Lie Theory and its applications in physics
Ed.
H-D. Dobner, V. K. Dobrev, J. Hilgert.
World Scientific, 1996

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ps, and
pdf formats are available


1996-10 posted September 20, 1999


Authors: Tom Branson,
Gestur Olafsson and
Bent Ørsted

Title: Spectrum Generating Operators, and
Intertwining Operators for Representations Induced
from maximal Parabolic Subgroups

Keywords: Lie groups, representations, intertwining operators, complementary
series representations, parabolic induction

Status: J. Funct. Anal. 135 (1996) 163-205

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ps, and
pdf formats are available


1996-9 posted September 1, 1999


Author:
Patrick M. Gilmer

Title: Turaev-Viro modules of satellite knots

Keywords: quantum invariant, companion, pattern, TQFT

Status: submitted October 1996,
appeared in KNOTS '96 (Tokyo), ed. S Suzuki 337--363, World Sci. Publishing, River Edge, NJ, 1997

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pdf formats are available


1996-8 posted September 1, 1999


Author:
Patrick M. Gilmer

Title: Invariants for 1-dimensional cohomology classes arising from TQFT

Keywords: Turaev-Viro module, quantum invariant, branched cover

Status: submitted January 1996,
appeared in Topology and its Applications 75 (1997) 217-259

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pdf formats are available


1996-7 posted May 6, 1999


Authors:
Daniel C. Cohen and
Alexander I. Suciu

Title: The braid monodromy of plane algebraic curves and hyperplane arrangements

Keywords: fundamental group, polynomial cover, braid group, wiring diagram, intersection lattice

Status:
Comment. Math. Helv.
72 (1997) 285-315

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and pdf formats are available


1996-6 posted May 5, 1999


Authors:
Guoli Ding,
Bogdan Oporowski,
Daniel P. Sanders, and
Dirk Vertigan

Title: Partitioning into two graphs with only small components

Keywords: tree-width, vertex partitions, edge partitions

Status: first submitted to a journal May 1996, last revised August 1998

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pdf formats are available


1996-5 posted May 4, 1999


Authors:
Andrzej Schinzel,
Jerzy Urbanowicz, and
Paul B. van Wamelen

Title: Class numbers and short sums of Kronecker symbols

Keywords: class number formulas

Status: submitted in 1996, appeared in J. Number Theory 78 (1999), no. 1, 62-84.

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pdf formats are available


1996-4 posted May 4, 1999


Author: Paul B. van Wamelen

Title: Class numbers of real quadratic function fields

Keywords: elliptic curves, Gauss conjecture

Status: submitted in 1996, appeared in
Acta Arith.
81 (1997), no. 1, 45-55.

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ps, and
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1996-3 posted May 4, 1999


Author:
Paul B. van Wamelen

Title: Examples of genus two CM curves defined over the rationals

Keywords: hyperelliptic curves, theta functions

Status: Submitted in 1996, appeared in Math. Comp.
68 (1999), no. 225, 307-320.

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ps, and
pdf formats are available.
The complete data is here:
Genus 2 CM curves defined over
the rationals
.


1996-2 posted April 30, 1999


Authors:
Gestur Olafsson and
Bent Ørsted

Title: Casual compactification and Hardy spaces

Keywords: symmetric spaces, holomorphic discrete series

Status: Preprint 1996, to appear in Transactions of the AMS

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pdf formats are available


1996-1 posted April 28, 1999


Authors:
Guoli Ding,
Bogdan Oporowski,
Daniel P. Sanders, and
Dirk Vertigan

Title: Surfaces, tree-width, clique-minors, and partitions

Keywords: series-parallel graphs, outerplanar graphs, planar graphs

Status: first submitted to a journal August 1996, last revised April 1999

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pdf formats are available




1994

1994-1 posted July 9, 1999


Authors: James Oxley and
Haidong Wu

Title: On the structure of 3-connected matroids and graphs

Status: European J. Combin. 21 (2000), 667-688

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ps, and
pdf formats are available





Last modified: Mon Sep 13 18:32:39 CDT 2004
by preprint@math.lsu.edu.