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arXiv · 2403.18966

Prony's Method in Banach Modules

Ilya A. Krishtal·Götz E. Pfander
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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.

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Ilya A. Krishtal, Götz E. Pfander. 2024-03-27. Prony's Method in Banach Modules. https://arxiv.org/abs/2403.18966

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