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arXiv · 1901.00698

A Paley-Wiener theorem in extended Gevrey regularity

Stevan Pilipović·Nenad Teofanov·Filip Tomić
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Abstract

In this paper we introduce appropriate associated function to the sequence $M_p=p^{\t p^{\s}}$, $p\in \N$, $\t>0$, $\s>1$, and derive its sharp asymptotic estimates in terms of the Lambert $W$ 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.

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Stevan Pilipović, Nenad Teofanov, Filip Tomić. 2019-01-03. A Paley-Wiener theorem in extended Gevrey regularity. https://arxiv.org/abs/1901.00698

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