A Note on Fourier-Laplace Transform and Analytic Wave front Set in Theory of Tempered Ultrahyperfunctions
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Abstract
In this paper we study the Fourier-Laplace transform of tempered ultrahyperfunctions introduced by Sebasti\~ao e 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.
Keywords
Cite
@article{arxiv.math-ph/0510082,
title = {A Note on Fourier-Laplace Transform and Analytic Wave front Set in Theory of Tempered Ultrahyperfunctions},
author = {Daniel H. T. Franco and Luiz H. Renoldi},
journal= {arXiv preprint arXiv:math-ph/0510082},
year = {2007}
}
Comments
Revised version. Accepted to be published in Journal of Mathematical Analysis and Applications