Prony's Method in Banach Modules
Functional Analysis
2024-03-29 v1 Spectral Theory
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.
Cite
@article{arxiv.2403.18966,
title = {Prony's Method in Banach Modules},
author = {Ilya A. Krishtal and Götz E. Pfander},
journal= {arXiv preprint arXiv:2403.18966},
year = {2024}
}