33 citations · 101 across the 10 of their papers we have counts for
10 papers
Dimension Walks on Generalized Spaces
Marcos Lopez de Prado, Ana Paula Peron, Emilio Porcu
Let be positive integers. We call generalized spaces the cartesian product of the -dimensional sphere, , with the -dimensional Euclidean space, $\mathbb{R…
Rudin Extension Theorems on Product Spaces, Turning Bands, and Random Fields on Balls cross Time
Emilio Porcu, Samuel F Feng, Xavier Emery +1
Characteristic functions that are radially symmetric have a dual interpretation, as they can be used as the isotropic correlation functions of spatial random fields. Extensions of…
Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus
François Bachoc, Ana Peron, Emilio Porcu
The paper deals with multivariate Gaussian random fields defined over generalized product spaces that involve the hypertorus. The assumption of Gaussianity implies the finite dimen…
Characterization of Strict Positive Definiteness on products of complex spheres
Mario H. Castro, Eugenio Massa, Ana Paula Peron
In this paper we consider Positive Definite functions on products of complex spheres, and we obtain a condition, in terms of the coefficients in their disc pol…
Positive Definite Functions on Complex Spheres and their Walks through Dimensions
Eugenio Massa, Ana Paula Peron, Emilio Porcu
We provide walks through dimensions for isotropic positive definite functions defined over complex spheres. We show that the analogues of Montée and Descente operators as proposed…
Schoenberg's theorem for real and complex Hilbert spheres revisited
Christian Berg, Ana P. Peron, Emilio Porcu
Schoenberg's theorem for the complex Hilbert sphere proved by Christensen and Ressel in 1982 by Choquet theory is extended to the following result: Let L denote a locally compact g…
Orthogonal expansions related to compact Gelfand pairs
Christian Berg, Ana P. Peron, Emilio Porcu
Given a compact Gelfand pair (G,K) and a locally compact group L, we characterize the class P_K^\sharp(G,L) of continuous positive definite functions f:G\times L\to \C which are bi…
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.
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…
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…