On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functions
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910272337215488 |
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| author | Faulhuber, Markus |
| author_facet | Faulhuber, Markus |
| contents | We show that the Wirtinger criterion cannot be used to investigate the frame set conjecture for the first Hermite function. More generally, for odd functions, it cannot determine regions of the frame set with density less than 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_26709 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functions Faulhuber, Markus Classical Analysis and ODEs Functional Analysis 42C15 We show that the Wirtinger criterion cannot be used to investigate the frame set conjecture for the first Hermite function. More generally, for odd functions, it cannot determine regions of the frame set with density less than 2. |
| title | On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functions |
| topic | Classical Analysis and ODEs Functional Analysis 42C15 |
| url | https://arxiv.org/abs/2605.26709 |