Work

Prony’s Method in Banach Modules

Year: 2025

Type: article

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.

Source: Journal of Fourier Analysis and Applications

DOI: 10.1007/s00041-025-10200-8

Authors: Ilya A. Krishtal, Götz E. Pfander

Institutions: Northern Illinois University, Catholic University of Eichstätt-Ingolstadt

Language: English

Topic: Sparse and Compressive Sensing Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: National Science Foundation, Katholische Universität Eichstätt-Ingolstadt, Deutsche Forschungsgemeinschaft