Strict positive definiteness on a product of compact two-point homogeneous spaces
Functional Analysis
2016-05-24 v1
Abstract
We present an explicit characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of compact two-point homogeneous spaces, in the cases in which at least one of the spaces is a sphere of dimension greater than 1 and the other is not a circle. The result complements similar characterizations previously obtained for products of high dimensional spheres.
Keywords
Cite
@article{arxiv.1605.07071,
title = {Strict positive definiteness on a product of compact two-point homogeneous spaces},
author = {V. S. Barbosa and V. A. Menegatto},
journal= {arXiv preprint arXiv:1605.07071},
year = {2016}
}