Department of Mathematics, Louisiana State University

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

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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2001-20 posted October 14, 2001
Author: Ambar Sengupta
Title: Sewing Yang-Mills measures for non-trivial bundles
Status: preprint
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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
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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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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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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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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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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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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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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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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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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
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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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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
Download abstract: dvi, 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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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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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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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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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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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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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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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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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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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
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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
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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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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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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:
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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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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
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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
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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
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1999-27 posted April 18, 2000
Authors: John Dittmann and Bogdan Oporowski
Title: Unavoidable minors of graphs of large type
Status: submitted for publication
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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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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
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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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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
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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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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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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
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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
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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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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
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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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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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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
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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)
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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
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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
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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
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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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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
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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
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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
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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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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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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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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
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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
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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
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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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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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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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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
Download extended abstract: dvi, ps, and pdf formats are available

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
Download: dvi, ps, and 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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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
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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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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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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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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
Download the introduction: dvi, ps, and 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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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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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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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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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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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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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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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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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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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
Download abstract: dvi, ps, and 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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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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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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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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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
Download the introduction: dvi, 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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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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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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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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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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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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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.
Download abstract: dvi, 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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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
Download: dvi, ps, and 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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Last modified: Mon Sep 13 18:32:39 CDT 2004 by preprint@math.lsu.edu.