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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.20224 |
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| _version_ | 1866915257588383744 |
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| author | Belov, Yurii Borichev, Alexander Kuznetsov, Alexander |
| author_facet | Belov, Yurii Borichev, Alexander Kuznetsov, Alexander |
| contents | We establish a relation between the approximation in $L^2[-π,π]$ by exponentials with the set of frequencies of Beurling--Malliavin density less than $1$ and the meromorphic interpolation at $\mathbb Z$. Furthermore, we show that typical $L^2[-π,π]$ functions admit such an approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20224 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential approximation and meromorphic interpolation Belov, Yurii Borichev, Alexander Kuznetsov, Alexander Complex Variables 42C15, 30D15, 46B15 We establish a relation between the approximation in $L^2[-π,π]$ by exponentials with the set of frequencies of Beurling--Malliavin density less than $1$ and the meromorphic interpolation at $\mathbb Z$. Furthermore, we show that typical $L^2[-π,π]$ functions admit such an approximation. |
| title | Exponential approximation and meromorphic interpolation |
| topic | Complex Variables 42C15, 30D15, 46B15 |
| url | https://arxiv.org/abs/2412.20224 |