Hugo Aimar

collaborators

2 papers

math.GN2017

Uniform spaces and the Newtonian structure of (big)data affinity kernels

Hugo Aimar, Ivana Gómez

Let $X$ be a (data) set. Let $K (x, y) > 0$ be a measure of the affinity between the data points $x$ and $y$ . We prove that $K$ has the structure of a Newtonian potential $K(x,y)=φ(d(x…

math.AP2016

Harnack's Inequality and A Priori Estimates for Fractional Powers of Non-symmetric Differential Operators

Hugo Aimar, Gastón Beltritti, Ivana Gómez +1

We obtain a new general extension theorem in Banach spaces for operators which are not required to be symmetric, and apply it to obtain Harnack estimates and a priori regularity fo…