Localization of trigonometric polynomials and the Lev-Tselishchev lemma
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918086764920832 |
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| author | Bochkov, I. |
| author_facet | Bochkov, I. |
| contents | The paper shows that the localization lemma used by N. Lev and A. Tselishchev in solving the problem of constructing quasi-bases from uniformly separated shifts of a function in the space $L^p (\mathbb R) $ for $ p > ( 1 + \sqrt 5 )/2 $, is not carried over to small $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01521 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Localization of trigonometric polynomials and the Lev-Tselishchev lemma Bochkov, I. Classical Analysis and ODEs The paper shows that the localization lemma used by N. Lev and A. Tselishchev in solving the problem of constructing quasi-bases from uniformly separated shifts of a function in the space $L^p (\mathbb R) $ for $ p > ( 1 + \sqrt 5 )/2 $, is not carried over to small $p$. |
| title | Localization of trigonometric polynomials and the Lev-Tselishchev lemma |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2507.01521 |