Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach
Classical Analysis and ODEs
2022-05-17 v1 Numerical Analysis
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2205.07396,
title = {Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach},
author = {Jean Carlo Guella and Janin Jäger},
journal= {arXiv preprint arXiv:2205.07396},
year = {2022}
}