Luz Roncal

activity

20152026

most citedFractional discrete Laplacian versus discretized fractional Laplacian

11 citations · 11 across the 4 of their papers we have counts for

collaborators

Showing math.APShow all

4 papers · 1 filter

math.AP2026

Quantitative Landis-type result for Dirac operators

Ujjal Das, Luca Fanelli, Luz Roncal

We study quantitative unique continuation at infinity for Dirac equations with bounded matrix-valued potentials. For the massless Dirac operator $D_{n}$ in $R^{n}$ ,…

math.AP2024

Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian

Luca Fanelli, Haruya Mizutani, Luz Roncal +1

We establish global bounds for solutions to stationary and time-dependent Schrödinger equations associated with the sublaplacian $L$ on the Heisenberg group, as well as it…

math.AP2023

Non-existence of radial eigenfunctions for the perturbed Heisenberg sublaplacian

Luca Fanelli, Haruya Mizutani, Luz Roncal +1

We prove uniform resolvent estimates in weighted $L^{2}$ -spaces for radial solutions of the sublaplacian $L$ on the Heisenberg group $H^{d}$ . The proofs are based on…

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…