Note on Fourier-Laplace transform and analytic wave front set in theory of tempered ultrahyperfunctions

被引：5
|
作者：
Franco, Daniel H. T.
Renoldi, Luiz H.
机构：
[1] Ctr Estudios Fis Teor, Setor Fis Matemat, BR-30130131 Belo Horizonte, MG, Brazil
[2] Univ Fed Sao Joao Rey, Dept Fis, DCNAT, BR-36300000 Sao Joao Del Rei, MG, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 02期
关键词：
tempered ultrahyperfunctions; Fourier-Laplace transform; wave front set;
D O I：
10.1016/j.jmaa.2006.01.082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the Fourier-Laplace transform of tempered ultrahyperfunctions introduced by Sebastiao a Silva and Hasumi. We establish a generalization of Paley-Wiener-Schwartz theorem for this setting. This theorem is interesting in connection with the microlocal analysis. For this reason, the paper also contains a description of the singularity, structure of tempered ultrahyperfunctions in terms of the concept of analytic wave front set. (c) 2006 Elsevier Inc. All rights reserved.
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页码：819 / 829
页数：11
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