URL details: hal.univ-antilles.fr/hal-01969133

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URL title: Multiplication of periodic hyperfunctions via harmonic regularization and applications. - Université des Antilles
URL description: 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.
URL keywords: Fourier series ; Product of periodic hyperfunctions ; Locally convex algebras ; Wave equation
URL last crawled: 2022-09-16
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