Laplace hyperfunctions via Čech-Dolbeault cohomology
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866910815423037440 |
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| author | Honda, Naofumi Umeta, Kohei |
| author_facet | Honda, Naofumi Umeta, Kohei |
| contents | 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 Čech-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_04226 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Laplace hyperfunctions via Čech-Dolbeault cohomology Honda, Naofumi Umeta, Kohei Analysis of PDEs 44A10 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 Čech-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. |
| title | Laplace hyperfunctions via Čech-Dolbeault cohomology |
| topic | Analysis of PDEs 44A10 |
| url | https://arxiv.org/abs/2210.04226 |