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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2505.21310 |
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| _version_ | 1866913865804021760 |
|---|---|
| author | Fan, Aihua Fan, Shilei |
| author_facet | Fan, Aihua Fan, Shilei |
| contents | This paper establishes two fundamental results on the existence of exponential Riesz basis in non-Archimedean locally compact Abelian groups: the existence of Riesz basis of exponentials for all finite unions of balls and the non-existence of such basis for some bounded sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21310 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential Riesz bases in non-Archimedean locally compact Abelian groups Fan, Aihua Fan, Shilei Classical Analysis and ODEs 43A75 This paper establishes two fundamental results on the existence of exponential Riesz basis in non-Archimedean locally compact Abelian groups: the existence of Riesz basis of exponentials for all finite unions of balls and the non-existence of such basis for some bounded sets. |
| title | Exponential Riesz bases in non-Archimedean locally compact Abelian groups |
| topic | Classical Analysis and ODEs 43A75 |
| url | https://arxiv.org/abs/2505.21310 |