Functions of continuous Cesáro operators
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929602379644928 |
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| author | Mirotin, Adolf |
| author_facet | Mirotin, Adolf |
| contents | We describe holomorphic functions and fractional powers of Cesáro operators in $L^2(\mathbb{R})$, $L^2(\mathbb{R}_+)$, and $L^2[0,1]$. Logarithms of Cesáro operators are introduced as well and their spectral properties are studied. Several examples are considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15578 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Functions of continuous Cesáro operators Mirotin, Adolf Functional Analysis 47G10 (Primary) 45P05, 47B15, 47B38 (Secondary) We describe holomorphic functions and fractional powers of Cesáro operators in $L^2(\mathbb{R})$, $L^2(\mathbb{R}_+)$, and $L^2[0,1]$. Logarithms of Cesáro operators are introduced as well and their spectral properties are studied. Several examples are considered. |
| title | Functions of continuous Cesáro operators |
| topic | Functional Analysis 47G10 (Primary) 45P05, 47B15, 47B38 (Secondary) |
| url | https://arxiv.org/abs/2411.15578 |