Prony’s Method in Banach Modules
Abstract 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.
Authors
- Götz E. Pfander (ORCID: https://orcid.org/0000-0002-2521-0755)
- Ilya Krishtal (ORCID: https://orcid.org/0000-0001-7171-2177)
Institutions
- Northern Illinois University (US)
- Catholic University of Eichstätt-Ingolstadt (DE)
Publication Details
- Journal
- Journal of Fourier Analysis and Applications
- Published
- 2025-11-14
- DOI
- https://doi.org/10.1007/s00041-025-10200-8
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Deutsche Forschungsgemeinschaft