The Laplace transform on a Boehmian space

V. Karunakaran; C. Prasanna Devi

Annales Polonici Mathematici (2010)

  • Volume: 97, Issue: 2, page 151-157
  • ISSN: 0066-2216

Abstract

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In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.

How to cite

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V. Karunakaran, and C. Prasanna Devi. "The Laplace transform on a Boehmian space." Annales Polonici Mathematici 97.2 (2010): 151-157. <http://eudml.org/doc/280457>.

@article{V2010,
abstract = {In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.},
author = {V. Karunakaran, C. Prasanna Devi},
journal = {Annales Polonici Mathematici},
keywords = {Boehmian space; Laplace transform; distributions; inversion formula},
language = {eng},
number = {2},
pages = {151-157},
title = {The Laplace transform on a Boehmian space},
url = {http://eudml.org/doc/280457},
volume = {97},
year = {2010},
}

TY - JOUR
AU - V. Karunakaran
AU - C. Prasanna Devi
TI - The Laplace transform on a Boehmian space
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 2
SP - 151
EP - 157
AB - In the literature a Boehmian space containing all right-sided Laplace transformable distributions is defined and studied. Besides obtaining basic properties of this Laplace transform, an inversion formula is also obtained. In this paper we shall improve upon two theorems one of which relates to the continuity of this Laplace transform and the other is concerned with the inversion formula.
LA - eng
KW - Boehmian space; Laplace transform; distributions; inversion formula
UR - http://eudml.org/doc/280457
ER -

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