We perform Wigner analysis of linear operators. Namely, the standard time-frequency
representation Short-time Fourier Transform (STFT) is replaced by the A-Wigner distribution …

In the last twenty years modulation spaces, introduced by HG Feichtinger in 1983, have
been successfully addressed to the study of signal analysis, PDE's, pseudodifferential …

We construct an invariant weighted Wiener measure associated to the periodic derivative
nonlinear Schrödinger equation in one dimension and establish global well-posedness for …

We study the phase-space concentration of the so-called generalized metaplectic operators
whose main examples are Schrödinger equations with bounded perturbations. To reach this …

We introduce new frames, called metaplectic Gabor frames, as natural generalizations of
Gabor frames in the framework of metaplectic Wigner distributions, cf.[7],[8],[5],[17],[27],[28] …

We present a different symplectic point of view in the definition of weighted modulation
spaces M mp, q (R d) and weighted Wiener amalgam spaces W (FL m 1 p, L m 2 q)(R d). All …

We study the Hermite operator H=− Δ+| x| 2 in R d and its fractional powers H β, β> 0 in
phase space. Namely, we represent functions f via the so-called short-time Fourier, alias …

In this paper we prove that a Gaussian white noise on the $ d $-dimensional torus has paths
in the Besov spaces $ B^{-d/2} _ {p,\infty}(\T^ d) $ with $ p\in [1,\infty) $. This result is shown …

We study the computation of the zero set of the Bargmann transform of a signal
contaminated with complex white noise, or, equivalently, the computation of the zeros of its …

We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat
propagator e - t H β \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …