V. A. Aguilar-Arteaga

activity

20172023

collaborators

4 papers

math.MG2023

An equichordal characterization of the ellipsoid and the sphere

Victor A. Aguilar-Arteaga, Rafael Iván Ayala-Figueroa, Jesús Jerónimo-Castro +1

Let $K$ and $L$ be two convex bodies in $R^{n}$ , $n \geq 3$ , with $L \subset int K$ . In this paper we prove the following result: if every two parallel chords of $K$ ,…

math.AP2018

Invariant Parabolic equations and Markov process on Adéles

V. A. Aguilar-Arteaga, S. Estala-Arias

In this article a class of additive invariant positive selfadjoint pseudodifferential unbounded operators on $L^{2} (A_{f})$ , where $A_{f}$ is the ring of finite a…

math.CA2018

Harmonic Analysis on the Adèle Ring of $\Q$

Victor A. Aguilar-Arteaga, Manuel Cruz-López, Samuel Estala-Arias

The ring of finite adèles $\Af$ of the rational numbers $\Q$ is obtained in this article as a completion of $\Q$ with respect to a certain non--Archimedean metric. This ultrametric…

math.FA2017

A Heat Equation on some Adic Completions of Q and Ultrametric Analysis

Victor A. Aguilar-Arteaga, Manuel Cruz-López, Samuel Estala Arias

This article deals with a Markov process related to the fundamental solution of a heat equation on the direct product ring Q_S, where Q_S is a finite direct product of p-adic field…