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arXiv · 2205.07396

Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach

Jean Carlo Guella·Janin Jäger
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Abstract

We present sufficient condition for a family of positive definite kernels on a compact two-point homogeneous space to be strictly positive definite based on their representation as a series of spherical harmonics. The family analyzed is a generalization of the isotropic kernels and the case of a real sphere is analyzed in details.

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Jean Carlo Guella, Janin Jäger. 2022-05-15. Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach. https://arxiv.org/abs/2205.07396

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