Paley-Wiener Theorems For Slice Regular Functions
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915245040074752 |
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| author | Hao, Yanshuai Dang, Pei Mai, Weixiong |
| author_facet | Hao, Yanshuai Dang, Pei Mai, Weixiong |
| contents | We prove two theorems of Paley and Wiener in the slice regular setting. As an application, we can compute the reproducing kernel for the slice regular Paley-Wiener space, and obtain a related sampling theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14489 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Paley-Wiener Theorems For Slice Regular Functions Hao, Yanshuai Dang, Pei Mai, Weixiong Complex Variables We prove two theorems of Paley and Wiener in the slice regular setting. As an application, we can compute the reproducing kernel for the slice regular Paley-Wiener space, and obtain a related sampling theorem. |
| title | Paley-Wiener Theorems For Slice Regular Functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2502.14489 |