Paley-Wiener theorems for slice monogenic functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912239075721216 |
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| author | Hao, Yanshuai Dang, Pei Mai, Weixiong |
| author_facet | Hao, Yanshuai Dang, Pei Mai, Weixiong |
| contents | In this paper, we prove some Paley-Wiener theorems for function spaces consisting of slice monogenic functions such as Paley-Wiener, Hardy and Bergman spaces. As applications, we can compute the reproducing kernel functions for the related function spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14490 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Paley-Wiener theorems for slice monogenic functions Hao, Yanshuai Dang, Pei Mai, Weixiong Complex Variables In this paper, we prove some Paley-Wiener theorems for function spaces consisting of slice monogenic functions such as Paley-Wiener, Hardy and Bergman spaces. As applications, we can compute the reproducing kernel functions for the related function spaces. |
| title | Paley-Wiener theorems for slice monogenic functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2502.14490 |