Examples of exponential bases on Union of intervals
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866915059395985408 |
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| author | Asipchuk, Oleg Drezels, Vladyslav |
| author_facet | Asipchuk, Oleg Drezels, Vladyslav |
| contents | In this paper, we construct explicit exponential bases on finite or infinite unions of segments of total length one with some conditions on gaps between them. We also construct exponential bases on certain unions of cubes in $\R^d$ and we prove a stability result for unions of segments that generalize Kadec's $\frac{1}{4}-$theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03821 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Examples of exponential bases on Union of intervals Asipchuk, Oleg Drezels, Vladyslav Functional Analysis 42C15, 42C30 In this paper, we construct explicit exponential bases on finite or infinite unions of segments of total length one with some conditions on gaps between them. We also construct exponential bases on certain unions of cubes in $\R^d$ and we prove a stability result for unions of segments that generalize Kadec's $\frac{1}{4}-$theorem. |
| title | Examples of exponential bases on Union of intervals |
| topic | Functional Analysis 42C15, 42C30 |
| url | https://arxiv.org/abs/2211.03821 |