A. Mas

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20182022

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3 papers · 1 filter

math.CA2019

Discrepancy of minimal Riesz energy points

Jordi Marzo, Albert Mas

We find upper bounds for the spherical cap discrepancy of the set of minimizers of the Riesz $s$ -energy on the sphere $S^{d} .$ Our results are based in bounds for a Sobolev d…

math.CA2019

Failure of rational approximation on some Cantor type sets

Albert Mas

Let $A (K)$ be the algebra of continuous functions on a compact set $K \subset C$ which are analytic on the interior of $K$ , and $R (K)$ the closure (with the uniform convergen…

math.CA2018

Pointwise monotonicity of heat kernels

Diego Alonso-Orán, Fernando Chamizo, Ángel D. Martínez +1

In this paper the authors present a proof of a pointwise radial monotonicity property of heat kernels that is shared by the euclidean spaces, spheres and hyperbolic spaces. The mai…