Universidad de La Rioja

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19952026

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7.1k citations

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math.CA2012★ 7 cited

Potential operators associated with Jacobi and Fourier-Bessel expansions

Adam Nowak, Luz Roncal

We study potential operators (Riesz and Bessel potentials) associated with classical Jacobi and Fourier-Bessel expansions. We prove sharp estimates for the corresponding potential…

math.CA2012★ 11 cited

Vector-valued extensions for fractional integrals of Laguerre expansions

Ó. Ciaurri, L. Roncal

We prove some vector-valued inequalities for fractional integrals defined in the context of two different orthonormal systems of Laguerre functions. Our results are based on estima…

math-ph2012★ 3 cited

A $q$ -linear analogue of the plane wave expansion

Luís Daniel Abreu, Óscar Ciaurri, Juan Luis Varona

We obtain a $q$ -linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little $q$ -Gegenbauer polynomials and the \textit{third} Jackson $q$ -Bes…

math.AP2012★ 11 cited

Fractional Laplacian on the torus

L. Roncal, P. R. Stinga

We study the fractional Laplacian $(- Δ)^{σ /2}$ on the $n$ -dimensional torus $T^{n}$ , $n \geq 1$ . First, we present a general extension problem that describes \textit{any} frac…

math.CA2012★ 1 cited

Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter

Adam Nowak, Luz Roncal

The heat kernel in the setting of classical Fourier-Bessel expansions is defined by an oscillatory series which cannot be computed explicitly. We prove qualitatively sharp estimate…

cs.AI2012★ 9 cited

Verifying an algorithm computing Discrete Vector Fields for digital imaging

Jónathan Heras, María Poza, Julio Rubio

In this paper, we present a formalization of an algorithm to construct admissible discrete vector fields in the Coq theorem prover taking advantage of the SSReflect library. Discre…