Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913339524775936 |
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| author | Garello, Gianluca Morando, Alessandro |
| author_facet | Garello, Gianluca Morando, Alessandro |
| contents | Starting from the study of pseudodifferential operators with completely periodic symbols, we obtain results of continuity and invertibility of a class of Gabor operators on time-frequency invariant Banach spaces. As an applications we find sufficient conditions for the existence of Gabor frames on the space of square integrable functions, associated to a general lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01370 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames Garello, Gianluca Morando, Alessandro Functional Analysis Analysis of PDEs 42C15, 35S05, 47G30, 47B38 Starting from the study of pseudodifferential operators with completely periodic symbols, we obtain results of continuity and invertibility of a class of Gabor operators on time-frequency invariant Banach spaces. As an applications we find sufficient conditions for the existence of Gabor frames on the space of square integrable functions, associated to a general lattice. |
| title | Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames |
| topic | Functional Analysis Analysis of PDEs 42C15, 35S05, 47G30, 47B38 |
| url | https://arxiv.org/abs/2405.01370 |