R. Bramati

activity

20192026

collaborators

8 papers

math.NT2026

Jittered sampling and probability measures

Roberto Bramati, Luca Brandolini, Giancarlo Travaglini

This paper investigates the discrepancy of a family of random sampling methods obtained by perturbing the grid $\frac{1}{M} Z^{d} \cap [- 1/2, 1/2)^{d}$ , where $M$ …

math.CA2026

Discrepancy estimates for multi-dimensional non-smooth convex bodies: a case study

Roberto Bramati, Luca Brandolini, Alessandro Monguzzi

We study $L^{2}$ -averaged discrepancies of finite sequences of points in the torus $T^{d}$ with respect to translated and dilated copies of convex bodies with non-smooth bound…

math.AP2024

Periodic layer potentials and domain perturbations

Roberto Bramati, Matteo Dalla Riva, Paolo Luzzini +1

In this paper, we review the construction of periodic fundamental solutions and periodic layer potentials for various differential operators. Specifically, we focus on the Laplace…

math.AP2022

The Functional Analytic Approach for quasi-periodic boundary value problems for the Helmholtz equation

Roberto Bramati, Matteo Dalla Riva, Paolo Luzzini +1

We lay down the preliminary work to apply the Functional Analytic Approach to quasi-periodic boundary value problems for the Helmholtz equation. This consists in introducing a quas…

math.RT2022

The resonances of the Capelli operators for small split orthosymplectic dual pairs

Roberto Bramati, Angela Pasquale, Tomasz Przebinda

Let $(G, G^{'})$ be a reductive dual pair in $S p (W)$ with rank $G \leq$ rank $G^{'}$ and $G^{'}$ semisimple. The image of the Casimir element of the universal enveloping algebra of $G^{'}$ under…

math.AP2022

Continuous harmonic functions on a ball that are not in $H^{s}$ for $s > 1/2$

Roberto Bramati, Matteo Dalla Riva, Brian Luczak

We show that there are harmonic functions on a ball $B_{n}$ of $R^{n}$ , $n \geq 2$ , that are continuous up to the boundary (and even Hölder continuous) but not in the…

math.FA2020

Oscillating spectral multipliers on groups of Heisenberg type

Roberto Bramati, Paolo Ciatti, John Green +1

We establish endpoint estimates for a class of oscillating spectral multipliers on Lie groups of Heisenberg type. The analysis follows an earlier argument due to the second and fou…

math.CA2019

A family of sharp inequalities on real spheres

Roberto Bramati

We prove a family of sharp multilinear integral inequalities on real spheres involving functions that possess some symmetries that can be described by annihilation by certain sets…