85 citations · 176 across the 22 of their papers we have counts for
6 papers · 1 filter
Fourier Series of Gegenbauer-Sobolev Polynomials
Óscar Ciaurri, Judit Mínguez
We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an ap…
Unconditional and quasi-greedy bases in with applications to Jacobi polynomials Fourier series
Fernando Albiac, José L. Ansorena, Óscar Ciaurri +1
We show that the decreasing rearrangement of the Fourier series with respect to the Jacobi polynomials for functions in does not converge unless . As a by-product of our…
Fourier--Jacobi expansions in Morrey spaces
A. Arenas, Ó. Ciaurri
In this paper we obtain a characterization of the convergence of the partial sum operator related to Fourier--Jacobi expansions in Morrey spaces.
Mean convergence of Fourier-Dunkl series
Ó. Ciaurri, M. Pérez, J. M. Reyes +1
In the context of the Dunkl transform a complete orthogonal system arises in a very natural way. This paper studies the weighted norm convergence of the Fourier series expansion as…
Bilinear biorthogonal expansions and the Dunkl kernel on the real line
L. D. Abreu, Ó. Ciaurri, J. L. Varona
We study an extension of the classical Paley-Wiener space structure, which is based on bilinear expansions of integral kernels into biorthogonal sequences of functions. The structu…
Heat and Poisson semigroups for Fourier-Neumann expansions
J. J. Betancor, O. Ciaurri, T. Martínez +3
Given , consider the second order differential operator in , which appears in…