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arXiv · 1605.07071

Strict positive definiteness on a product of compact two-point homogeneous spaces

V. S. Barbosa·V. A. Menegatto
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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.

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V. S. Barbosa, V. A. Menegatto. 2016-05-23. Strict positive definiteness on a product of compact two-point homogeneous spaces. https://arxiv.org/abs/1605.07071

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