L. Roncal

activity

20112023

most citedHarmonic Analysis associated with a discrete Laplacian

85 citations · 190 across the 32 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.CA2014★ 3 cited

Mixed norm estimates for the Cesàro means associated with Dunkl--Hermite expansions

Pradeep Boggarapu, L. Roncal, S. Thangavelu

Our main goal in this article is to study mixed norm estimates for the Cesàro means associated with Dunkl--Hermite expansions on $R^{d}$ . These expansions arise when one con…

math.AP2014

Transference of fractional Laplacian regularity

L. Roncal, P. R. Stinga

In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus $T^{n}$ from the fractional Laplacian on $R^{n}$ . T…

math.CA2014★ 85 cited

Harmonic Analysis associated with a discrete Laplacian

Ó. Ciaurri, T. A. Gillespie, L. Roncal +2

It is well-known that the fundamental solution of $u_{t} (n, t) = u (n + 1, t) - 2 u (n, t) + u (n - 1, t), n \in Z,$ with $u (n, 0) = δ_{nm}$ for every fixed $m \in Z$ , is given…