A Necessary and Sufficient Condition for Strictly Positive Definite Functions on Spheres
نویسندگان
چکیده
We give a necessary and sufficient condition for the strict positivedefiniteness of real and continuous functions on spheres of dimension greater than one.
منابع مشابه
Strictly positive definite functions on spheres in Euclidean spaces
In this paper we study strictly positive definite functions on the unit sphere of the m-dimensional Euclidean space. Such functions can be used for solving a scattered data interpolation problem on spheres. Since positive definite functions on the sphere were already characterized by Schoenberg some fifty years ago, the issue here is to determine what kind of positive definite functions are act...
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