Laplace hyperfunctions via \v{C}ech-Dolbeault cohomology
| Autor: | Honda, Naofumi, Umeta, Kohei |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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