A multidimensional Tauberian theorem for Laplace transforms of ultradistributions
Functional Analysis
2020-10-16 v2
Abstract
We obtain a multidimensional Tauberian theorem for Laplace transforms of Gelfand-Shilov ultradistributions. The result is derived from a Laplace transform characterization of bounded sets in spaces of ultradistributions with supports in a convex acute cone of , also established here.
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Cite
@article{arxiv.1902.00902,
title = {A multidimensional Tauberian theorem for Laplace transforms of ultradistributions},
author = {Lenny Neyt and Jasson Vindas},
journal= {arXiv preprint arXiv:1902.00902},
year = {2020}
}
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16 pages