A multidimensional Tauberian theorem for Laplace transforms of ultradistributions
A multidimensional Tauberian theorem for Laplace transforms of ultradistributions
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.