Ó. Ciaurri

activity

20052025

most citedHarmonic Analysis associated with a discrete Laplacian

85 citations · 176 across the 22 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.MG2015

Revisiting floating bodies

Óscar Ciaurri, Emilio Fernández, L. Roncal

The conic sections, as well as the solids obtained by revolving these curves, and many of their surprising properties, were already studied by Greek mathematicians since at least t…

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.AP2015★ 11 cited

Fractional discrete Laplacian versus discretized fractional Laplacian

Ó. Ciaurri, L. Roncal, P. R. Stinga +2

We define and study some properties of the fractional powers of the discrete Laplacian $(- Δ_{h})^{s}, on Z_{h} = h Z,$ for $h > 0$ and $0 < s < 1$ . A comparison b…

Revisiting floating bodies

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

Fractional discrete Laplacian versus discretized fractional Laplacian

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