论文标题
一种类似于公制空间上构造正定功能的gneiting样方法
A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces
论文作者
论文摘要
本文涉及使用广义stieltjes和完整的Bernstein功能在准中空间的笛卡尔产物上构建积极的确定功能。我们证明的结果与建立的T. gneiting的方法对齐,以构建时空积极的确定功能及其许多扩展。当空间是度量标准时,提供了严格的模型确定性的必要条件。
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.