J. Varona

activity

19952026

most citedHarmonic Analysis associated with a discrete Laplacian

85 citations · 282 across the 23 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.FA2015

Unconditional and quasi-greedy bases in $L_{p}$ 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 $L_{p}$ does not converge unless $p = 2$ . As a by-product of our…

math.FA2010★ 10 cited

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…

math.FA2009★ 14 cited

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…

math.FA2005★ 3 cited

Heat and Poisson semigroups for Fourier-Neumann expansions

J. J. Betancor, O. Ciaurri, T. Martínez +3

Given $α > - 1$ , consider the second order differential operator in $(0, \infty)$ , $L_{α} f \equiv (x^{2} \frac{d ^{2}}{d x ^{2}} + (2 α + 3) x \frac{d}{d x} + x^{2} + (α + 1)^{2}) (f),$ which appears in…

Unconditional and quasi-greedy bases in Lp​ with applications to Jacobi polynomials Fourier series

Mean convergence of Fourier-Dunkl series

Bilinear biorthogonal expansions and the Dunkl kernel on the real line

Heat and Poisson semigroups for Fourier-Neumann expansions

Unconditional and quasi-greedy bases in $L_{p}$ with applications to Jacobi polynomials Fourier series