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Strictly positive definite functions on the complex Hilbert sphere

Advances in Computational Mathematics volume 11, pages 105–119 (1999)Cite this article

Abstract

We study strictly positive definite functions on the complex Hilbert sphere. A link between strict positive definiteness and (harmonic) polynomial interpolation on finite‐dimensional spheres is investigated. Sufficient conditions for strict positive definiteness are presented.

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Authors and Affiliations

  1. Department of Mathematics, Southwest Missouri State University, Springfield, MO, 65804, USA

    Xingping Sun

  2. ICMC‐Universidade de São Paulo, Caixa Postal 668, 13560‐970, São Carlos, SP, Brazil

    V.A. Menegatto

Authors
  1. Xingping Sun
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  2. V.A. Menegatto
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Sun, X., Menegatto, V. Strictly positive definite functions on the complex Hilbert sphere. Advances in Computational Mathematics 11, 105–119 (1999). https://doi.org/10.1023/A:1018915723982

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  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018915723982

  • complex Hilbert sphere
  • positive definite functions
  • multivariate interpolation
  • 41A05
  • 41A63
  • 41A82