Prony's method in several variables: symbolic solutions by universal interpolation
arXiv:1603.0394430 citationsh-index: 23
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Provides theoretical foundations for multivariate Prony's method, relevant to signal processing and numerical analysis.
The paper develops a symbolic approach to multivariate Prony's method using universal interpolation, providing estimates on the minimal number of evaluations needed to solve the problem.
The paper considers a symbolic approach to Prony's method in several variables and its close connection to multivariate polynomial interpolation. Based on the concept of universal interpolation that can be seen as a weak generalization of univariate Chebychev systems, we can give estimates on the minimal number of evaluations needed to solve Prony's problem.