paper

A multidimensional Tauberian theorem for Laplace transforms of ultradistributions

arXiv:1902.00902 · doi:10.1080/10652469.2019.1699556

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.

16 pages

A multidimensional Tauberian theorem for Laplace transforms of ultradistributions · wovepaper