Publications
Books
1.
Sistemas Diferenciales Ordinarios, CAEM, San José, Costa Rica, 1977.
2a. Asymptotic Analysis : a
distributional approach, Birkhäuser, Boston, 1994.a View
2b. A distibutional approach to
Asymptotics. Theory and Applications, Birkhäuser, Boston, 2002. Second,
highly enlarged, edition of 2a.a View
3. Singular Integral Equations,
Birkhäuser, Boston, 2000.a View
Articles
4. Applications of distributional derivatives
to wave propagation, J.Inst.Math.Appl. 26 (1980), 39-63.a
5. Distributional biharmonic equation, J.Math.Phys.Scs. 14
(1980), 283-293.a
6. Applications of generalized
functions in Economics, J.NonlinearAnal. 5 (1981), 1379-1387.a
7. Distributional boundary values of
analytic and harmonic functions, J.Math.Anal.Appl. 89 (1982),
262-289.a
8. Existencia
de funciones suaves que no son analíticas en ninguna parte, Matem.Costrr. 1
(1984), 1-5.
9. Distributional analysis of
discontinuous fields, J.Math.Anal.Appl. 105 (1985), 478-490.a
10. Distributional solutions of
singular integral equations, J.Int.Eqns. 8 (1985), 41-85.a
11. Regularization and
distributional derivatives of (x1+...xp)n/2
in D´(Rp), Proc.Roy. Soc. London A 401
(1985), 281-297.a
12. Distributional solutions of dual
integral equations of Cauchy, Abel and Titchmarsh types, J.Int.Eqns. (1985),
277-305.a
13. Cauchy type singular integral
equations, Ganita 36 (1985), 1-25.a
14. Series which converge on sets of
null density, Proc.Amer.Math.Soc. 97 (1986), 682-686.a
15. Some results in discontinuous
fields and wave propagation, J.Math.Anal.Appl. 128 (1987),
389-404.a
16. Carleman type singular integral
equations, SIAM Review 29 (1987), 263-290.a
17. Higher order fundamental forms
of a surface and their applications to wave propagation and distributional
derivatives,
Rend.Cir.Mat.Palermo 36 (1987), 27-62.a
18. Moment sequences for a certain
class of distributions, Complex Variables 9 (1987), 31-39.a
19. A distributional analysis for
the delta function with support on the light cone, J.Phys. A 21 (1988),
2667-2675.a
20. Regularization, pseudofunction,
and Hadamard finite part, J.Math.Anal.Appl. 141 (1989), 195-207.a
21. Integral equations with
logarithmic kernels, IMA J.Appl.Math. 43 (1989),133-155.a
22. On asymptotic expansions of
twisted products, J.Math.Phys. 30 (1989), 2789-2796.b
23. A distributional theory for
asymptotic expansions, Proc.Roy.Soc.London A 428 (1990), 399-430.a
24. The asymptotic expansion of
generalized functions, in: Abstracts of the International Congress of
Mathematicians, Kyoto, Japan, 1991.
25. Distributional solutions of the
Wiener-Hopf integral and integro-differential equations, J.Int.Eqns.Appls. 3
(1991), 489-514.a
26. Non-classical derivation of the
transport theorems for wave fronts, J.Math.Anal.Appl. 159 (1991),
290-297.a
27. Series of Dirac delta functions,
Proceedings of the International Conference on Differential Equations,
Edinburg, Texas,1991;
in: Partial Differential Equations, Pitman Research Notes 273,
44-48.
28. Funciones generalizadas que dependen analíticamente de
un parámetro, Cienc.Mat. (C.R.) 2 (1991), 53-56.
29. The asymptotic expansion of
certain series considered by Ramanujan, Applicable Analysis 43
(1992), 191-228.
30. The asymptotic expansion of some
multidimensional generalized functions, J.Math. Anal.Appl. 163
(1992), 264-283.a
31. Taylor expansions for
distributions, Math.Meth.Appl.Scs. 16 (1992), 297-304.a
32. The separation of zeros for functions
with compact spectrum, J.Math.Anal.Appl. 171 (1992), 593-594.
33. Strong moment problems for
rapidly decreasing smooth functions, Proc.Amer.Math.Soc. 120
(1994), 529-534.
34. Asymptotic separation of
variables, J.Math.Anal.Appl. 171 (1993), 130-142.a
35. Fórmulas
de reconstrucción asintótica, Proceedings of the VI International Congress
of Biomathematics, San José, Costa Rica, 1993, 39-47.
36. Valores puntuales distribucionales de series de Fourier,
Memorias II Encuentro Centroamericano de Matemáticos,
vol.2, San Ramón, Costa Rica, 1994, 465-472.
37. The continuity of certain
functions defined by oscillatory integrals, Applicable Analysis 55
(1994), 177-184.
38. Solution of ordinary
differential equations by series of delta functions, J.Math.Anal.Appls. 191
(1995), 40-55.d
39. Regularization and asymptotic
expansion of some generalized functions defined by divergent series, Int.J.Math.Math.Scs.
18 (1995), 735-744.
40. A distributional approach to the
boundary layer theory, J.Math.Anal.Appls. 192 (1995), 796-812.a
41. The appareance of nonclassical
terms in the analysis of point source fields, Amer. J. Phys. 63
(1995), 278.a
42. Asymptotic approximation by
cardinal series, Proceedings of the VIII Texas Conference on Approximation
Theory,
College Station, Texas, 1995; in: Approximation Theory VIII}, vol.1,
World Scientific Pub.Co., 1996, 193-198.
43. Extension sets for real-analytic
functions and applications to Radon transforms, Int.J.Math.Math.Scs. 19
(1996), 625-632.e
44. Expansion of distributional
kernels of the type f(lx,x) as l goes to infinity, Math.Proc.Camb.Phil.Soc.
121 (1997), 129-139.g
45. Dirichlet convolution inverses
and solution of integral equations, J.Int.Eqns.Appls. 7 (1996),
159-166.
46. Characterization of the Fourier
series of distributions having a value at a point, Proc.Amer.Math.Soc. 124
(1996), 1205-1212.
47. Aproximación asintótica de funcionales analíticos, Rev.Un.Mat.Argen.
39 (1995), 125-136.
48. Summability of cardinal series
and of localized Fourier series, Applicable Analysis 59 (1995),
271-288.
49. Pre-asymptotic expansions, J.Math.Anal.Appls.
202 (1996), 470-484.a
50. Vector moment problems for
rapidly decreasing functions of several variables, Proc.Amer.Math.Soc. 126
(1998), 761-768.
51. On the Euler-Maclaurin
asymptotic formula, Bol.Soc.Mat.Mex. 3 (1997), 117-133.
52. Regularization of distributions,
Int.J.Math.Math.Scs. 21 (1997), 625-636.
53. Boundary layers and spectral
content asymptotics, Proceedings of the International Conference on
Dynamical Systems and Differential Equations, Springfield, Missouri, 1996,
in: Dynamical Systems and Differential Equations,
vol. I, Southwest Missouri University Press, 1996, 242-252.
54. Moment expansion analysis for
time-domain asymptotics, Math.Meth.Appl.Scs. 21 (1998), 489-499.a
55. The Cesàro behaviour of
distributions, Proc.Roy.Soc.London A 454 (1998), 2425-2443.
56. On summability of distributions
and spectral geometry, Commun.Math.Phys. 191 (1998), 219-248.b
57. Extensions of the Poisson summation
formula, J.Math.Anal.Appls. 218 (1998), 581-606.a
58. Distributional asymptotic
expansion of spectral functions and of the associated Green kernels, Electronic
J.Diff.Eqns. 1999 (1999), 1-37.h
59. An extension of the integral
test, Proc.Amer.Math.Soc. 127 (1999), 1745-1751.
60. The analytic continuation of
moment functions and of zeta functions, Rev.Paranaense de Matematica 18
(1998), 191-209.
61. Una fórmula distribucional de sumación de tipo
Euler-Maclaurin en dos variables, Divulg.Mat. 6 (1998), 93-112.g
62.
Problemas de frontera para ecuaciones
diferenciales de segundo orden, 2000 UCR Differential Equations Meeting,
in press.
63. Tauberian theorems for
distributions, Publ.Matem.Debrecen 61 (2002), 1-9.
64. How singular functions define distributions,
J.Phys. A 35 (2002), 3079-3089 .h
65. A generalization of the residue
formula, Bull.Malaysian Math. Sc. Soc.25 (2002), 39-52.
66. Asymptotic expansion of
two-dimensional distributional Euler-Maclaurin formulas, Far Eastearn
J.Math. 6 (2002), 1-29.g
67. Abel summability and angular
convergence, Scientia 9 (2003), 45-51. PDF
68. The non-existence of
regularization operators, J.Math.Anal.Appls. 286 (2003), 1-10.
69. Regularization of integral
equations in spaces of distributions, J. Integral Equations 15 (2003),
241-262.
70. Boundary values of analytic
functions without distributional point values, Tamkang J. Math. (2004).
71.
Sumabilidad de Abel y convergencia no
tangencial, Lecturas Matemáticas 24 (2004).
72. A distributional version of the
Ferenc Lukács theorem, submitted.
73. Distributional radius of
convergence, submitted.
Articles in Preparation
74. Distributional curvature.
75. On point values of distributions.
76. Distributional lattice sums : their
regularization and asymptotic expansion.
77. Extension operators in spaces of
hyperfunctions.
78. Integral equations in spaces of
hyperfunctions.
79. The Borel summability of cardinal
series.
80. Generalized functions
concentrated on lines.
81. Generalized solution of integral
equations over the whole real line.
82. Inequalities for certain integral
transforms. v
83. Distributional solutions of the
Frenet-Serret equations. z
84. Distributional spaces with
special points. g
awith R.P.Kanwal
bwith J.M.Gracia-Bondía
and J.C.Várilly
dwith L.G.Hernández
ewith V.Arguedas
gwith C.M.Ulate
hwith S.A.Fulling
vwith J.Vindas
zwith A.Guevara