Prony's method in several variables
Tomas Sauer
TL;DR
This paper extends Prony's method to multiple variables by leveraging polynomial interpolation, normal forms modulo ideals, and H-bases, enabling more complex multivariate signal analysis.
Contribution
It introduces a novel multivariate extension of Prony's method utilizing algebraic tools like polynomial interpolation and H-bases.
Findings
Provides a theoretical framework for multivariate Prony's method
Establishes connections between polynomial interpolation and algebraic structures
Lays groundwork for practical multivariate signal reconstruction
Abstract
The paper gives an extension of Prony's method to the multivariate case which is based on the relationship between polynomial interpolation, normal forms modulo ideals and H--bases.
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