Borel transforms of functions from a parameterized family of Hilbert spaces of entire functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929317525585920 |
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| author | Isaev, Konstantin Yulmukhametov, Rinad |
| author_facet | Isaev, Konstantin Yulmukhametov, Rinad |
| contents | We introduce a continuous scale of Hilbert spaces of entire functions $P_β(D)$ for a bounded convex domain $D$ on the complex plane. For the parameters $β\in (\frac 12;\frac 32)$ a complete description of the spaces of Borel transforms of functions from $P_β(D)$ is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11548 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Borel transforms of functions from a parameterized family of Hilbert spaces of entire functions Isaev, Konstantin Yulmukhametov, Rinad Complex Variables 46E20, 30D15 We introduce a continuous scale of Hilbert spaces of entire functions $P_β(D)$ for a bounded convex domain $D$ on the complex plane. For the parameters $β\in (\frac 12;\frac 32)$ a complete description of the spaces of Borel transforms of functions from $P_β(D)$ is given. |
| title | Borel transforms of functions from a parameterized family of Hilbert spaces of entire functions |
| topic | Complex Variables 46E20, 30D15 |
| url | https://arxiv.org/abs/2404.11548 |