Laplace hyperfunctions via \v{C}ech-Dolbeault cohomology
Analysis of PDEs
2025-02-07 v3
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.
Keywords
Cite
@article{arxiv.2210.04226,
title = {Laplace hyperfunctions via \v{C}ech-Dolbeault cohomology},
author = {Naofumi Honda and Kohei Umeta},
journal= {arXiv preprint arXiv:2210.04226},
year = {2025}
}