33 citations · 85 across the 6 of their papers we have counts for
6 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…
Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative
Rafaela N. Bonfim, Jean C. Guella, Valdir A. Menegatto
For two continuous and isotropic positive definite kernels on the same compact two-point homogeneous space, we determine necessary and sufficient conditions in order that their pro…
Strictly Positive Definite Kernels on a Product of Spheres II
Jean C. Guella, Valdir A. Menegatto, Ana P. Peron
We present, among other things, a necessary and sufficient condition for the strict positive definiteness of an isotropic and positive definite kernel on the cartesian product of a…
Strictly positive definite kernels on a product of circles
J. C. Guella, V. A. Menegatto, A. P. Peron
We supply a Fourier characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of circles.
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…
An extension of a theorem of Schoenberg to products of spheres
J. C. Guella, V. A. Menegatto, Ana P. Peron
We present a characterization for the continuous, isotropic and positive definite kernels on a product of spheres along the lines of a classical result of I. J. Schoenberg on posit…