Multiplication of periodic hyperfunctions via harmonic regularization and applications.

Abstract : We build a locally convex algebra of Gevrey type functions defined in the Poincaré half-plane in which a class of periodic hyperfunctions on the real line is topologically embedded. This is accomplished via a harmonic regularization method. In this algebra we can give a sense to differential problems involving products of distributions or hyperfunctions which are a priori not defined in the classical setting. Some examples and an application are given.
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https://hal.univ-antilles.fr/hal-01969133
Contributor : Vincent Valmorin <>
Submitted on : Thursday, January 3, 2019 - 5:05:11 PM
Last modification on : Tuesday, May 21, 2019 - 4:02:02 AM

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Vincent Valmorin. Multiplication of periodic hyperfunctions via harmonic regularization and applications.. Kyoto Journal of Mathematics, Duke University Press, In press, ⟨10.1215/21562261-2018-0011⟩. ⟨hal-01969133⟩

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