On the lower Riesz basis bound of exponential systems over an interval
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910792066007040 |
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| author | Alemany, Thibaud Nitzan, Shahaf |
| author_facet | Alemany, Thibaud Nitzan, Shahaf |
| contents | We revisit Pavlov's characterization for Riesz bases of exponentials and study the corresponding lower Riesz basis bounds. In particular, this approach allows us to improve on known estimates for the bounds in Avdonin's theorem regarding average perturbations, and Levin's theorem regarding zeroes of sine-type functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11598 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the lower Riesz basis bound of exponential systems over an interval Alemany, Thibaud Nitzan, Shahaf Classical Analysis and ODEs We revisit Pavlov's characterization for Riesz bases of exponentials and study the corresponding lower Riesz basis bounds. In particular, this approach allows us to improve on known estimates for the bounds in Avdonin's theorem regarding average perturbations, and Levin's theorem regarding zeroes of sine-type functions. |
| title | On the lower Riesz basis bound of exponential systems over an interval |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2501.11598 |