English

On interpolation by radial polynomials

Numerical Analysis 2025-10-20 v1 Numerical Analysis Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.math/0404175,
  title  = {On interpolation by radial polynomials},
  author = {C. de Boor},
  journal= {arXiv preprint arXiv:math/0404175},
  year   = {2025}
}

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10 pages