On interpolation by radial polynomials

Mathematics – Numerical Analysis

Scientific paper

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10 pages

Scientific paper

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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