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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:325

Article

Franco, Daniel H. T. ; Renoldi, Luiz H.

关键词: tempered ultrahyperfunctions;    Fourier-Laplace transform;    wave front set;   

DOI  :  10.1016/j.jmaa.2006.01.082

来源: Elsevier

【 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.

【 授权许可】

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