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On interpolation by radial polynomials

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Abstract

A lemma of Micchelli's, concerning radial polynomials and weighted sums of point evaluations, is shown to hold for arbitrary linear functionals, as is Schaback's more recent extension of this lemma and Schaback's result concerning interpolation by radial polynomials. Schaback's interpolant is explored.

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Communicated by T. Sauer

Happy 60th and beyond, Charlie!

Mathematics subject classifications (2000)

41A05, 41A6.

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Boor, C. On interpolation by radial polynomials. Adv Comput Math 24, 143–153 (2006). https://doi.org/10.1007/s10444-004-7630-3

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  • DOI: https://doi.org/10.1007/s10444-004-7630-3

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