4 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…