Gabor systems with Hermite functions of order n and oversampling greater than n+1 which are not frames
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911184378134528 |
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| author | Faulhuber, Markus |
| author_facet | Faulhuber, Markus |
| contents | We show that a sufficient density condition for Gabor systems with Hermite functions over lattices is not sufficient in general. This follows from a result on how zeros of the Zak transform determine the frame property of integer over-sampled Gabor systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09510 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gabor systems with Hermite functions of order n and oversampling greater than n+1 which are not frames Faulhuber, Markus Functional Analysis Mathematical Physics 42C15, 33C45 We show that a sufficient density condition for Gabor systems with Hermite functions over lattices is not sufficient in general. This follows from a result on how zeros of the Zak transform determine the frame property of integer over-sampled Gabor systems. |
| title | Gabor systems with Hermite functions of order n and oversampling greater than n+1 which are not frames |
| topic | Functional Analysis Mathematical Physics 42C15, 33C45 |
| url | https://arxiv.org/abs/2502.09510 |