The Kotake-Narasimhan Theorem in general ultradifferentiable classes
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866915113939763200 |
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| author | Fürdös, Stefan |
| author_facet | Fürdös, Stefan |
| contents | We prove a Kotake-Narasimhan type theorem in general ultradifferentiable classes given by weight matrices. In doing so we simultaneously recover and partially generalize the known results for classes given by weight sequences and weight functions. In particular, we obtain a sharp Kotake-Narasimhan theorem for Beurling classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11905 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Kotake-Narasimhan Theorem in general ultradifferentiable classes Fürdös, Stefan Analysis of PDEs 35B65 (primary) 26E10, 35B45, 35J48, 46E10 (secondary) We prove a Kotake-Narasimhan type theorem in general ultradifferentiable classes given by weight matrices. In doing so we simultaneously recover and partially generalize the known results for classes given by weight sequences and weight functions. In particular, we obtain a sharp Kotake-Narasimhan theorem for Beurling classes. |
| title | The Kotake-Narasimhan Theorem in general ultradifferentiable classes |
| topic | Analysis of PDEs 35B65 (primary) 26E10, 35B45, 35J48, 46E10 (secondary) |
| url | https://arxiv.org/abs/2212.11905 |