arXiv:2301.08122 Abstract | arXiv Analytics

arXiv:2301.08122 [math.NA]Abstract References Reviews Resources

Strictly positive definite kernels on compact Riemannian manifolds

Published 2023-01-19Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:2005.02798

Categories: math.NA, cs.NA, math.ST, stat.TH

Subjects: 33B10, 33C20, 42A16, 46E22, 65D05

Keywords: compact riemannian manifolds, paper studies strictly positive definite, studies strictly positive definite kernels, ensure strict positive definiteness, example conditions

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