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• W2022821885 startingPage "025001" @default.
• W2022821885 abstract "We derive a new generalization of Prony's method to reconstruct M-sparse expansions of (generalized) eigenfunctions of linear operators from only suitable values in a deterministic way. The proposed method covers the well-known reconstruction methods for M-sparse sums of exponentials as well as for the interpolation of M-sparse polynomials by using special linear operators in . Further, we can derive new reconstruction formulas for M-sparse expansions of orthogonal polynomials using the Sturm–Liouville operator. The method is also applied to the recovery of M-sparse vectors in finite-dimensional vector spaces." @default.
• W2022821885 created "2016-06-24" @default.
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• W2022821885 date "2013-01-07" @default.
• W2022821885 modified "2023-10-17" @default.
• W2022821885 title "A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators" @default.
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• W2022821885 doi "https://doi.org/10.1088/0266-5611/29/2/025001" @default.
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