9 citations · 17 across the 5 of their papers we have counts for
5 papers
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…
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…
Strictly positive definite kernels on two-point compact homogeneous spaces
V. S. Barbosa, V. A. Menegatto
We present a necessary and sufficient condition for the strict positive definiteness of a real, continuous, isotropic and positive definite kernel on a two-point compact homogeneou…
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…
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Victor S. Barbosa, Valdir A. Menegatto
Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an -positive definite and zonal kerne…