Sparse Polynomial Interpolation with Arbitrary Orthogonal Polynomial Bases

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  The problem of sparse interpolation with arbitrary orthogonal bases can be regarded as a generalization of sparse interpolation with the Chebyshev basis.In Lakshman and Saunder [1996],an algorithm,based on Prony/Blahut's method is provided to interpolate polynomials that are sparse in the Chebyshev basis(of the first kind).
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