Paley-Wiener-Schwartz Theorem and Microlocal Analysis in Theory of Tempered Ultrahyperfunctions

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We give some precisions on the Fourier-Laplace transform theorem for tempered ultrahyperfunctions introduced by Sebastião e Silva and Hasumi, by considering the theorem in its simplest form: the equivalence between support properties of a distribution in a closed convex cone and the holomorphy of its Fourier-Laplace transform in a suitable tube with conical basis. We establish a generalization of Paley-Wiener-Schwartz theorem for this setting. This theorem is interesting in connection with the microlocal analysis, where a description of the singularity structure of tempered ultrahyperfunctions in terms of the concept of analytic wave front set is given. We also suggest a physical application of the results obtained in the construction and study of field theories with fundamental length.
Contribution to the Fifth International Conference on Mathematical Methods in Physics, Rio de Janeiro, April 24-28, 2006. PoS documentclass

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Mathematical Physics, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/182009

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0610051
 http://arxiv.org/abs/math-ph/0610051
 PoSIC2006:047,2006

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arXiv