A Note on Fourier-Laplace Transform and Analytic Wave front Set in Theory of Tempered Ultrahyperfunctions

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dc.creatorFranco, Daniel H. T.
dc.creatorRenoldi, Luiz H.
dc.date2005-10-24
dc.date2006-01-31
dc.date.accessioned2026-07-07T06:47:04Z
dc.date.available2026-07-07T06:47:04Z
dc.descriptionIn this paper we study the Fourier-Laplace transform of tempered ultrahyperfunctions introduced by Sebastião 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.
dc.descriptionRevised version. Accepted to be published in Journal of Mathematical Analysis and Applications
dc.identifierhttps://arxiv.org/abs/math-ph/0510082
dc.identifierhttp://arxiv.org/abs/math-ph/0510082
dc.identifierJ.Math.Anal.Appl. 325: 819-829, 2007
dc.identifierdoi:10.1016/j.jmaa.2006.01.082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103538
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject35A18, 35A20, 46S60
dc.titleA Note on Fourier-Laplace Transform and Analytic Wave front Set in Theory of Tempered Ultrahyperfunctions
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