Sectorial Paley-Wiener Theorem
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866911748257218560 |
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| author | Vagharshakyan, Armen |
| author_facet | Vagharshakyan, Armen |
| contents | By correcting, simplifying and extending a result of Morimoto, we prove a Paley-Wiener type theorem for functions of exponential type in a sector. It serves as a sectorial analogue of Polya's theorem on the indicator of entire functions and improves a result of Dzhrbashyan and Avetisyan by finding the maximal convex set of analytic continuation inside a sector. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_02192 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sectorial Paley-Wiener Theorem Vagharshakyan, Armen Complex Variables 30E20, 30D10, 30D15 By correcting, simplifying and extending a result of Morimoto, we prove a Paley-Wiener type theorem for functions of exponential type in a sector. It serves as a sectorial analogue of Polya's theorem on the indicator of entire functions and improves a result of Dzhrbashyan and Avetisyan by finding the maximal convex set of analytic continuation inside a sector. |
| title | Sectorial Paley-Wiener Theorem |
| topic | Complex Variables 30E20, 30D10, 30D15 |
| url | https://arxiv.org/abs/2205.02192 |