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Strictly positive definite functions on spheres

  • Published:1992 Issue:4 Volume:116 Page:977-981
  • ISSN:0002-9939
  • Container-title:Proceedings of the American Mathematical Society
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc.

Author:

Xu Yuan,Cheney E. W.

Abstract

A sufficient condition is given for the strict positive-definiteness of a real, continuous function on the m m -dimensional sphere.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Orthogonal Polynomials and Special Functions

2. A set of research problems in approximation theory;Cheney, E. W.,1993

3. Interpolation by periodic radial basis functions;Light, W. A.;J. Math. Anal. Appl.,1992

4. Positive definite functions on spheres;Schoenberg, I. J.;Duke Math. J.,1942

5. American Mathematical Society Colloquium Publications, Vol. 23;Szegö, Gabor,1959

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