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arXiv · 1902.00902

A multidimensional Tauberian theorem for Laplace transforms of ultradistributions

Lenny Neyt·Jasson Vindas
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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 $\mathbb{R}^{n}$, also established here.

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Lenny Neyt, Jasson Vindas. 2019-02-03. A multidimensional Tauberian theorem for Laplace transforms of ultradistributions. https://doi.org/10.1080/10652469.2019.1699556

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