17 citations · 29 across the 15 of their papers we have counts for
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Discrete Besov spaces via semigroups associated to the discrete Laplacian and regularity of non-local operators
Luciano Abadias, Marta De León-Contreras, Alejandro Mahillo
In this paper we prove characterizations of the discrete Besov spaces in terms of the heat and Poisson semigroups associated with the discrete Laplacian that will allow us to prove…
Discrete Hölder spaces, their characterization via semigroups associated to the discrete Laplacian and kernels estimates
Luciano Abadias, Marta De León-Contreras
In this paper we characterize the discrete Hölder spaces by means of the heat and Poisson semigroups associated to the discrete Laplacian. These characterizations allow us to get r…
Quadrature rules for -weighted norms of orthogonal polynomials
Luciano Abadias, Pedro J. Miana, Natalia Romero
In this paper we obtain -weighted norms of classical orthogonal polynomials (Hermite, Laguerre and Jacobi polynomials) in terms of the zeros of these orthogonal polynomials; t…