1 citations · 1 across the 2 of their papers we have counts for
5 papers
Non-archimedean generalized Bessel potentials and their applications
Anselmo Torresblanca-Badillo
This article describes a class of pseudo-differential operators \begin{equation*} (\mathcal{A}^αφ)(x)=\mathcal{F}^{-1}_{ξ\rightarrow x}\left(\left[\max\{|\boldsymbolψ_{1}(||ξ||_{p}…
Non-Archimedean Pseudo-Differential Operators With Bessel Potentials
Ismael Gutiérrez García, Anselmo Torresblanca-Badillo
In this article, we study a class of non-archimedean pseudo-differential operators associated via Fourier transform to the Bessel potentials. These operators (which we will denote…
Some classes of non-archimedean radial probability density functions associated with energy landscapes
Anselmo Torresblanca-Badillo, Ismael Gutierrez Garcia
In this article, we study a large class of radial probability density functions defined on the p-adic numbers from which it is possible to obtain certain non-archimedean pseudo-dif…
Symbols of non-archimedean elliptic pseudo-differential operators, Feller semigroups, Markov transition function and negative definite functions
Ismael Gutiérrez García, Anselmo Torresblanca-Badillo
In this article we prove that the heat kernel attached to the non-archimedean elliptic pseudodifferential operators determine a Feller semigroup and a uniformly stochastically cont…
Non-Archimedean pseudodifferential operators and Feller Semigroups
Anselmo Torresblanca-Badillo, W. A. Zúñiga-Galindo
In this article we study a class of non-Archimedean pseudodifferential operators whose symbols are negative definite functions. We prove that these operators extend to generators o…