Strictly Positive Definite Functions on Spheres

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1992Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 116, page 977 (issn: 0002-9939,

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Authors: Xu, Yuan; Cheney, E. W.;

doi: 10.2307/2159477 , 10.1090/s0002-9939-1992-1096214-6

Strictly Positive Definite Functions on Spheres

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Abstract

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

Related Organizations

Department of Mathematics
University of Oregon
United States

Keywords

ultraspherical polynomials, Positive definite functions in one variable harmonic analysis, positive definite functions, strictly positive definite functions, Positive definite functions on groups, semigroups, etc., Harmonic analysis and spherical functions, Interpolation in approximation theory

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