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<p>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.</p>

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Prony’s Method in Banach Modules

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月14日

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  • Ilya A. Krishtal,
  • Götz E. Pfander

摘要

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.