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arXiv · 2210.04226

Laplace hyperfunctions via \v{C}ech-Dolbeault cohomology

Naofumi Honda·Kohei Umeta
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Abstract

The paper studies several properties of Laplace hyperfunctions introduced by H.~Komatsu in the one dimensional case and by the authors in the higher dimensional cases from the viewpoint of \v{C}ech-Dolbeault cohomology theory, which enables us, for example, to construct the Laplace transformation and its inverse in a simple way. We also give some applications to a system of PDEs with constant coefficients.

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Naofumi Honda, Kohei Umeta. 2022-10-09. Laplace hyperfunctions via \v{C}ech-Dolbeault cohomology. https://arxiv.org/abs/2210.04226

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