Laplace transform in spaces of ultradistributions
Bojan Prangoski
TL;DR
This paper studies the properties of the Laplace transform within the framework of Komatsu ultradistributions, establishing conditions for when an analytic function can be represented as such a transform.
Contribution
It introduces new conditions characterizing Laplace transforms of ultradistributions in Komatsu spaces, expanding the theoretical understanding of these transforms.
Findings
Characterization of Laplace transforms of ultradistributions
Conditions for analyticity to be a Laplace transform
Extension of Laplace transform theory to ultradistribution spaces
Abstract
The Laplace transform in Komatsu ultradistributions is considered. Also, conditions are given under which an analytic function is a Laplace transformation of an ultradistribution.
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Taxonomy
Topicsadvanced mathematical theories · Advanced Mathematical Modeling in Engineering · Mathematical Analysis and Transform Methods