Strictly positive definite kernels on compact Riemannian manifolds

01/19/2023

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by   Jean Carlo Guella, et al.

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The paper studies strictly positive definite kernels on compact Riemannian manifolds. We state new conditions to ensure strict positive definiteness for general kernels and kernels with certain convolutional structure. We also state conditions for such kernels on product manifolds. As an example conditions for products of two-point homogeneous spaces are presented.