Sign uncertainty and de Branges spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908005320097792 |
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| author | Carneiro, Emanuel Ismoilov, Tolibjon Ramos, Antonio Pedro |
| author_facet | Carneiro, Emanuel Ismoilov, Tolibjon Ramos, Antonio Pedro |
| contents | We investigate here the sign uncertainty phenomenon for bandlimited functions, with a competing condition given by integration with respect to a general measure. Our main result provides a framework related to the theory of de Branges spaces of entire functions, that allows one to find the sharp constants and classify the extremizers in a broad range of situations. We discuss an application in number theory, in connection to bounds for zeros of $L$-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01186 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sign uncertainty and de Branges spaces Carneiro, Emanuel Ismoilov, Tolibjon Ramos, Antonio Pedro Classical Analysis and ODEs Complex Variables Number Theory 46E22, 42A05, 42B35, 30H45, 33C10 We investigate here the sign uncertainty phenomenon for bandlimited functions, with a competing condition given by integration with respect to a general measure. Our main result provides a framework related to the theory of de Branges spaces of entire functions, that allows one to find the sharp constants and classify the extremizers in a broad range of situations. We discuss an application in number theory, in connection to bounds for zeros of $L$-functions. |
| title | Sign uncertainty and de Branges spaces |
| topic | Classical Analysis and ODEs Complex Variables Number Theory 46E22, 42A05, 42B35, 30H45, 33C10 |
| url | https://arxiv.org/abs/2408.01186 |