A Paley-Wiener theorem in extended Gevrey regularity

被引：6

作者：

Pilipovic, Stevan ^{[1
]}

Teofanov, Nenad ^{[1
]}

Tomic, Filip ^{[2
]}

机构：

[1] Univ Novi Sad, Dept Math & Informat, Novi Sad, Serbia

[2] Univ Novi Sad, Fac Tech Sci, Novi Sad, Serbia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 02期

关键词：

Ultradifferentiable functions; Paley-Wiener theorem; Ultradistributions; Associated functions; Wave front sets;

D O I：

10.1007/s11868-019-00298-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce appropriate associated function to the sequence Mp=p tau p sigma,p is an element of N,tau>0,sigma>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.

引用

页码：593 / 612

页数：20

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