Michele Berra

activity

20132017

collaborators

5 papers

math.AP2017

A multi-scale Gaussian beam parametrix for the wave equation: the Dirichlet boundary value problem

Michele Berra, Maarten V. de Hoop, José Luis Romero

We present a construction of a multi-scale Gaussian beam parametrix for the Dirichlet boundary value problem associated with the wave equation, and study its convergence rate to th…

math.FA2016

Stockwell-Like Frames for Sobolev Spaces

Ubertino Battisti, Michele Berra, Anita Tabacco

We construct a family of frames describing Sobolev norm and Sobolev seminorm of the space $H^{s} (R^{d})$ . Our work is inspired by the Discrete Orthonormal Stockwell Transform…

math.FA2015

Explicit construction of non-stationary frames for $L^{2}$

Ubertino Battisti, Michele Berra

We show the existence of a family of frames of $L^{2} (R)$ which depend on a parameter $α \in [0, 1]$ . If $α = 0$ , we recover the usual Gabor frame, if $α = 1$ we obtain a frame sy…

math.AP2015

Gabor Frames of Gaussian Beams for the Schrödinger equation

Michele Berra, Martina Bulai, Elena Cordero +1

The present paper is devoted to the semiclassical analysis of linear Schrödinger equations from a Gabor frame perspective. We consider (time-dependent) smooth Hamiltonians with at…

math.AP2013

Gabor Frame Decomposition of Evolution Operators and Applications