A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces
Classical Analysis and ODEs
2020-11-20 v2
Abstract
This paper is concerned with the construction of positive definite functions on a cartesian product of quasi-metric spaces using generalized Stieltjes and complete Bernstein functions. The results we prove are aligned with a well-established method of T. Gneiting to construct space-time positive definite functions and its many extensions. Necessary and sufficient conditions for the strict positive definiteness of the models are provided when the spaces are metric.
Keywords
Cite
@article{arxiv.2006.12217,
title = {A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces},
author = {Victor S. Barbosa and Valdir A. Menegatto},
journal= {arXiv preprint arXiv:2006.12217},
year = {2020}
}