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 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 …

To overcome the impossibility of representing the energy of a signal simultaneously in time
and frequency, many time–frequency representations have been introduced in the literature …

This work deals with Schrödinger equations with quadratic and sub-quadratic Hamiltonians
perturbed by a potential. In particular we shall focus on bounded, but not necessarily smooth …

It is well known that the matrix of a metaplectic operator with respect to phase-space shifts is
concentrated along the graph of a linear symplectic map. We show that the algebra …

The aim of this book is to give a rigorous and complete treatment of various topics from
harmonic analysis with a strong emphasis on symplectic invariance properties, which are …

This book is devoted to the study of pseudo-di? erential operators, with special emphasis on
non-selfadjoint operators, a priori estimates and localization in the phase space. We have …

Metaplectic Wigner distributions were recently investigated as natural generalizations of the
classical Wigner distribution, and provide a wide class of time-frequency representations …

Hausdorff–Young's inequality establishes the boundedness of the Fourier transform from L p
to L q spaces for 1≤ p≤ 2 and q= p′, where p′ denotes the Lebesgue-conjugate …