Strictly positive definite kernels on compact Riemannian manifolds
Numerical Analysis
2023-01-20 v1 Numerical Analysis
Statistics Theory
Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2301.08122,
title = {Strictly positive definite kernels on compact Riemannian manifolds},
author = {Jean Carlo Guella and Janin Jäger},
journal= {arXiv preprint arXiv:2301.08122},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2005.02798