A. Peron

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math.CA2022

Dimension Walks on Generalized Spaces

Marcos Lopez de Prado, Ana Paula Peron, Emilio Porcu

Let $d, k$ be positive integers. We call generalized spaces the cartesian product of the $d$ -dimensional sphere, $S^{d}$ , with the $k$ -dimensional Euclidean space, $\mathbb{R…

math.CA2018

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 $Ω_{2 q} \times Ω_{2 p}$ of complex spheres, and we obtain a condition, in terms of the coefficients in their disc pol…