Abstract
We build a locally convex algebra of real analytic functions defined in a strip of 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 hyperfunctions which are a priori not defined in the classical setting. Some examples and an application are given.
Citation
V. Valmorin. "Multiplication of periodic hyperfunctions via harmonic regularization and applications." Kyoto J. Math. 59 (2) 267 - 292, June 2019. https://doi.org/10.1215/21562261-2018-0011
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