A Kratzel's integral transformation of distributions.

J. A. Barrios; J. J. Betancor

Collectanea Mathematica (1991)

  • Volume: 42, Issue: 1, page 11-32
  • ISSN: 0010-0757

Abstract

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In this paper we study an integral transformation introduced by E. Kratzel in spaces of distributions. This transformation is a generalization of the Laplace transform. We employ the usually called kernel method. Analyticity, boundedness, and inversion theoremes are established for the generalized transformation.

How to cite

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Barrios, J. A., and Betancor, J. J.. "A Kratzel's integral transformation of distributions.." Collectanea Mathematica 42.1 (1991): 11-32. <http://eudml.org/doc/42417>.

@article{Barrios1991,
abstract = {In this paper we study an integral transformation introduced by E. Kratzel in spaces of distributions. This transformation is a generalization of the Laplace transform. We employ the usually called kernel method. Analyticity, boundedness, and inversion theoremes are established for the generalized transformation.},
author = {Barrios, J. A., Betancor, J. J.},
journal = {Collectanea Mathematica},
keywords = {Transformadas integrales finitas; Transformada de Laplace; Distribuciones; generalized Kratzel transform; analyticity; integral transformation; Laplace transform; boundedness; inversion theorems; generalized transformation},
language = {eng},
number = {1},
pages = {11-32},
title = {A Kratzel's integral transformation of distributions.},
url = {http://eudml.org/doc/42417},
volume = {42},
year = {1991},
}

TY - JOUR
AU - Barrios, J. A.
AU - Betancor, J. J.
TI - A Kratzel's integral transformation of distributions.
JO - Collectanea Mathematica
PY - 1991
VL - 42
IS - 1
SP - 11
EP - 32
AB - In this paper we study an integral transformation introduced by E. Kratzel in spaces of distributions. This transformation is a generalization of the Laplace transform. We employ the usually called kernel method. Analyticity, boundedness, and inversion theoremes are established for the generalized transformation.
LA - eng
KW - Transformadas integrales finitas; Transformada de Laplace; Distribuciones; generalized Kratzel transform; analyticity; integral transformation; Laplace transform; boundedness; inversion theorems; generalized transformation
UR - http://eudml.org/doc/42417
ER -

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