Strictly positive definite functions on spheres

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

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1992, Vol.116 (4), p.977-981
Main Authors: Xu, Yuan, Cheney, E. W.
Format: Article
Language:English
Subjects:
Coefficients
Interpolation
Mathematical functions
Mathematical theorems
Polynomials
Research article
Sine function
Sufficient conditions
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Description
Summary:A sufficient condition is given for the strict positive-definiteness of a real, continuous function on the mm-dimensional sphere.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1992-1096214-6