3 papers
math.FA2019
On the space of ultradistributions vanishing at infinity
Andreas Debrouwere, Lenny Neyt, Jasson Vindas
We study the structural and linear topological properties of the space of ultradistributions vanishing at infinity (with respect to a weight fun…
math.FA2019
A multidimensional Tauberian theorem for Laplace transforms of ultradistributions
Lenny Neyt, Jasson Vindas
We obtain a multidimensional Tauberian theorem for Laplace transforms of Gelfand-Shilov ultradistributions. The result is derived from a Laplace transform characterization of bound…
math.FA2018
Structural theorems for quasiasymptotics of ultradistributions
Lenny Neyt, Jasson Vindas
We provide complete structural theorems for the so-called quasiasymptotic behavior of non-quasianalytic ultradistributions. As an application of these results, we obtain descriptio…