%0 Journal Article
%T A Note on Fourier-Laplace Transform and Analytic Wave front Set in Theory of Tempered Ultrahyperfunctions
%A Daniel H. T. Franco
%A Luiz H. Renoldi
%J Mathematics
%D 2005
%I arXiv
%R 10.1016/j.jmaa.2006.01.082
%X 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.
%U http://arxiv.org/abs/math-ph/0510082v2