Wave packet systems and connections to spectral analysis of limiting operators
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914247422771200 |
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| author | Hughes, Kevin Israel, Arie Mayeli, Azita |
| author_facet | Hughes, Kevin Israel, Arie Mayeli, Azita |
| contents | We discuss the design of ``wave packet systems'' that admit strong concentration properties in phase space. We make a connection between this problem and topics in signal processing related to the spectral behavior of spatial and frequency-limiting operators. The results have engineering applications in medical imaging, geophysics, and astronomy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06945 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Wave packet systems and connections to spectral analysis of limiting operators Hughes, Kevin Israel, Arie Mayeli, Azita Classical Analysis and ODEs Mathematical Physics Functional Analysis Spectral Theory 42C15, 42C40, 42B10, 47A75, 94A12 We discuss the design of ``wave packet systems'' that admit strong concentration properties in phase space. We make a connection between this problem and topics in signal processing related to the spectral behavior of spatial and frequency-limiting operators. The results have engineering applications in medical imaging, geophysics, and astronomy. |
| title | Wave packet systems and connections to spectral analysis of limiting operators |
| topic | Classical Analysis and ODEs Mathematical Physics Functional Analysis Spectral Theory 42C15, 42C40, 42B10, 47A75, 94A12 |
| url | https://arxiv.org/abs/2601.06945 |