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The Laplace transform on a class of Boehmians

Published online by Cambridge University Press:  17 April 2009

Dennis Nemzer
Dennis Nemzer
Affiliation:
Department of Mathematics, California State University, Stanislaus Turlock California 95380, United States of America
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Abstract

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The one-sided Laplace transform is defined on a space of generalised functions called transformable Boehmians. The space of one-sided Laplace transformable distributions is shown to be a proper subspace of transformable Boehmians. Some basic properties of the Laplace transform are investigated. An inversion formula and an Abelian theorem of the final type are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 347 - 352
Copyright
Copyright © Australian Mathematical Society 1992

References

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