23 citations · 96 across the 23 of their papers we have counts for
6 papers · 1 filter
Wigner and Gabor phase-space analysis of propagators for evolution equations
Elena Cordero, Gianluca Giacchi, Luigi Rodino
We study the Wigner kernel and the Gabor matrix associated with the propagators of a broad class of linear evolution equations, including the complex heat, wave, and Hermite equati…
On the microlocal phase-space concentration of Wigner distributions associated with Schrödinger evolutions
Gianluca Giacchi, Davide Tramontana
In this work, we investigate the microlocal properties of the evolutions of Schrödinger equations using metaplectic Wigner distributions. So far, only restricted classes of metaple…
Sparse Gabor representations of metaplectic operators: controlled exponential decay and Schrödinger confinement
Elena Cordero, Gianluca Giacchi, Edoardo Pucci +1
Motivated by the phase space analysis of Schrödinger evolution operators, in this paper we investigate how metaplectic operators are approximately diagonalized along the correspond…
Bespoke multiresolution analysis of graph signals
Giacomo Elefante, Gianluca Giacchi, Michael Multerer +1
We present a novel framework for discrete multiresolution analysis of graph signals. The main analytical tool is the samplet transform, originally defined in the Euclidean framewor…
Multiresolution local smoothness detection in non-uniformly sampled multivariate signals
Sara Avesani, Gianluca Giacchi, Michael Multerer
Inspired by edge detection based on the decay behavior of wavelet coefficients, we introduce a (near) linear-time algorithm for detecting the local regularity in non-uniformly samp…
Metaplectic operators with quasi-diagonal kernels
Gianluca Giacchi, Luigi Rodino
Metaplectic operators form a relevant class of operators appearing in different applications, in the present work we study their Schwartz kernels. Namely, diagonality of a kernel i…