3 papers
math.CA2020
A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces
Victor S. Barbosa, Valdir A. Menegatto
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 functi…
math.FA2016
Strict positive definiteness on a product of compact two-point homogeneous spaces
V. S. Barbosa, V. A. Menegatto
We present an explicit characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of compact two-point homogeneous spaces, in the case…
math.CA2015
Differentiable positive definite functions on two-point homogeneous spaces
V. S. Barbosa, V. A. Menegatto
In this paper we study continuous kernels on compact two point homogeneous spaces which are positive definite and zonal (isotropic). Such kernels were characterized by R. Gangolli…