A necessary and sufficient condition for strictly positive definite functions on spheres

Authors

Debao Chen
Valdir A. Menegatto
Xingping Sun, Missouri State UniversityFollow

Abstract

We give a necessary and sufficient condition for the strict positive-definiteness of real and continuous functions on spheres of dimension greater than one.

Department(s)

Mathematics

Document Type

Conference Proceeding

DOI

https://doi.org/10.1090/S0002-9939-03-06730-3

Keywords

Gegenbauer polynomials, Spherical harmonics, Strict positive-definiteness

Publication Date

9-1-2003

Recommended Citation

Chen, Debao, Valdir A. Menegatto, and Xingping Sun. "A necessary and sufficient condition for strictly positive definite functions on spheres." Proceedings of the American Mathematical Society (2003): 2733-2740.

Journal Title

Proceedings of the American Mathematical Society