On uniformly minimal and 'uniformly complete' exponential systems
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915060735016960 |
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| author | Nitzan, Shahaf |
| author_facet | Nitzan, Shahaf |
| contents | A.Olevskii and A.Ulanovskii obtained a scale of density results, which correspond to how well an exponential system approximates a uniformly minimal system over a compact set. We extend their result in several directions. First, we show that it holds for any set of positive finite measure. Next, we consider a relaxed version of frames, which we term 'uniformly complete systems', and obtain an analogues scale of density results for such systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On uniformly minimal and 'uniformly complete' exponential systems Nitzan, Shahaf Classical Analysis and ODEs Dynamical Systems A.Olevskii and A.Ulanovskii obtained a scale of density results, which correspond to how well an exponential system approximates a uniformly minimal system over a compact set. We extend their result in several directions. First, we show that it holds for any set of positive finite measure. Next, we consider a relaxed version of frames, which we term 'uniformly complete systems', and obtain an analogues scale of density results for such systems. |
| title | On uniformly minimal and 'uniformly complete' exponential systems |
| topic | Classical Analysis and ODEs Dynamical Systems |
| url | https://arxiv.org/abs/2412.08791 |