Deep zero problems and the HRT conjecture
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915727950217216 |
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| author | Li, Yufei Liu, Zeguang Zhu, Kehe |
| author_facet | Li, Yufei Liu, Zeguang Zhu, Kehe |
| contents | We investigate a "deep zero problem" proposed by Hedenmalm. We show that there is a natural connection between Hedenmalm's problem and the classical HRT conjecture in time-frequency analysis. This connection allows us to show that Hedenmalm's problem 5.2 in [5] as well as some of its natural analogs have affirmative answers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09080 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Deep zero problems and the HRT conjecture Li, Yufei Liu, Zeguang Zhu, Kehe Functional Analysis Complex Variables We investigate a "deep zero problem" proposed by Hedenmalm. We show that there is a natural connection between Hedenmalm's problem and the classical HRT conjecture in time-frequency analysis. This connection allows us to show that Hedenmalm's problem 5.2 in [5] as well as some of its natural analogs have affirmative answers. |
| title | Deep zero problems and the HRT conjecture |
| topic | Functional Analysis Complex Variables |
| url | https://arxiv.org/abs/2601.09080 |