On Gaussian kernels on Hilbert spaces and kernels on Hyperbolic spaces
Functional Analysis
2021-02-02 v2 Classical Analysis and ODEs
Abstract
This paper describes the concepts of Universal/ Integrally Strictly Positive Definite/ -Universal for the Gaussian kernel on a Hilbert space. As a consequence we obtain a similar characterization for an important family of kernels studied and developed by Schoenberg and also on a family of spatial-time kernels popular on geostatistics, the Gneiting class, and its generalizations. Either by using similar techniques, or by a direct consequence of the Gaussian kernel on Hilbert spaces, we characterize the same concepts for a family of kernels defined on a Hyperbolic space.
Keywords
Cite
@article{arxiv.2007.14697,
title = {On Gaussian kernels on Hilbert spaces and kernels on Hyperbolic spaces},
author = {Jean Carlo Guella},
journal= {arXiv preprint arXiv:2007.14697},
year = {2021}
}