Operator-isomorphism pairs and Zak transform methods for the study of Gabor systems
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866929715226345472 |
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| author | Faulhuber, Markus |
| author_facet | Faulhuber, Markus |
| contents | We collect and summarize results on the unitary equivalence of Gabor systems by pairs of unitary operators and global isometries. The methods are then used to study Gabor systems with Hermite functions. We provide new proofs of some known results and an outlook on double over-sampling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08358 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Operator-isomorphism pairs and Zak transform methods for the study of Gabor systems Faulhuber, Markus Functional Analysis 42C15 We collect and summarize results on the unitary equivalence of Gabor systems by pairs of unitary operators and global isometries. The methods are then used to study Gabor systems with Hermite functions. We provide new proofs of some known results and an outlook on double over-sampling. |
| title | Operator-isomorphism pairs and Zak transform methods for the study of Gabor systems |
| topic | Functional Analysis 42C15 |
| url | https://arxiv.org/abs/2502.08358 |