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arXiv · 1605.09775

Strictly Positive Definite Kernels on a Product of Spheres II

Jean C. Guella·Valdir A. Menegatto·Ana P. Peron
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Abstract

We present, among other things, a necessary and sufficient condition for the strict positive definiteness of an isotropic and positive definite kernel on the cartesian product of a circle and a higher dimensional sphere. The result complements similar results previously obtained for strict positive definiteness on a product of circles [Positivity, to appear, arXiv:1505.01169] and on a product of high dimensional spheres [J. Math. Anal. Appl. 435 (2016), 286-301, arXiv:1505.03695].

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Jean C. Guella, Valdir A. Menegatto, Ana P. Peron. 2016-05-31. Strictly Positive Definite Kernels on a Product of Spheres II. https://doi.org/10.3842/sigma.2016.103

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