5 papers
Generalization of the energy distance by Bernstein functions
Jean Carlo Guella
We reprove the well known fact that the energy distance defines a metric on the space of Borel probability measures on a Hilbert space with finite first moment by a new approach, b…
On Gaussian kernels on Hilbert spaces and kernels on Hyperbolic spaces
Jean Carlo Guella
This paper describes the concepts of Universal/ Integrally Strictly Positive Definite/ -Universal for the Gaussian kernel on a Hilbert space. As a consequence we obtain a si…
Operator valued positive definite kernels and differentiable universality
Jean Carlo Guella
We present a characterization for a positive definite operator valued kernel to be universal or -universal, and apply these characterizations to a family of operator valued…
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
Jean C. Guella, Valdir A. Menegatto
For the real, continuous, isotropic and positive definite kernels on a product of spheres, one may consider not only its usual strict positive definiteness but also strict positive…