A multidimensional Tauberian theorem for Laplace transforms of ultradistributions

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.

arXiv comment16 pages

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Cited by in corpus (1)

• On the space of ultradistributions vanishing at infinity