16 citations · 40 across the 11 of their papers we have counts for
11 papers
Matrix valued positive definite kernels related to the generalized Aitken's integral for Gaussians
V. A. Menegatto, C. P. Oliveira
We introduce a method to construct general multivariate positive definite kernels on a nonempty set that employs a prescribed bounded completely monotone function and special m…
Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions
Pier Giovanni Bissiri, Valdir A. Menegatto, Emilio Porcu
Positive definite functions on spheres have received an increasing interest in many branches of mathematics and statistics. In particular, the Schoenberg sequences in the spectral…
Kolmogorov widths on the sphere via eigenvalue estimates for Hölderian integral operators
Jordão, T., Menegatto +1
Approximation processes in the reproducing kernel Hilbert space associated to a continuous kernel on the unit sphere in the Euclidean space are known to de…
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…
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 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 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…
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…
Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere
Thaís Jordão, Valdir A. Menegatto
We provide estimates for weighted Fourier sums of integrable functions defined on the sphere when the weights originate from a multiplier operator acting on the space where the fun…
Traceability of positive integral operators in the absence of a metric
Mario H. Castro, Valdir A. Menegatto, Ana P. Peron
We investigate the traceability of positive integral operators on when is a Hausdorff locally compact second countable space and is a non-degenerate, -finite…