Geodesic
A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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: positive definite functions, generalized Stieltjes functions, Bernstein functions, Gneiting's model, products of metric spaces. 
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     author = {Victor S. Barbosa and Valdir A. Menegatto},
     title = {A {Gneiting-Like} {Method} for {Constructing} {Positive} {Definite} {Functions} on {Metric} {Spaces}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a116/}
}
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Victor S. Barbosa; Valdir A. Menegatto. A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a116/

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