Prony's Method in Banach Modules
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913288018722816 |
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| author | Krishtal, Ilya A. Pfander, Götz E. |
| author_facet | Krishtal, Ilya A. Pfander, Götz E. |
| contents | We show that the classical Prony's method for recovery of a sparse signal from its consecutive Fourier coefficients can be viewed as a spectral identification problem for an unknown restriction of a known linear operator. This presents a unified point of view on various existing and novel generalizations and applications of the method, some of which are discussed in this paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Prony's Method in Banach Modules Krishtal, Ilya A. Pfander, Götz E. Functional Analysis Spectral Theory We show that the classical Prony's method for recovery of a sparse signal from its consecutive Fourier coefficients can be viewed as a spectral identification problem for an unknown restriction of a known linear operator. This presents a unified point of view on various existing and novel generalizations and applications of the method, some of which are discussed in this paper. |
| title | Prony's Method in Banach Modules |
| topic | Functional Analysis Spectral Theory |
| url | https://arxiv.org/abs/2403.18966 |