A Paley-Wiener theorem in extended Gevrey regularity
Functional Analysis
2019-01-04 v1
Abstract
In this paper we introduce appropriate associated function to the sequence , , , , and derive its sharp asymptotic estimates in terms of the Lambert function. These estimates are used to prove a Paley-Wiener type theorem for compactly supported functions from extended Gevrey classes. As an application, we discuss properties of the corresponding wave front sets.
Keywords
Cite
@article{arxiv.1901.00698,
title = {A Paley-Wiener theorem in extended Gevrey regularity},
author = {Stevan Pilipović and Nenad Teofanov and Filip Tomić},
journal= {arXiv preprint arXiv:1901.00698},
year = {2019}
}