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 …

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 …

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 …

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 …

This article gives explicit integral formulas for the so-called generalized metaplectic
operators, ie Fourier integral operators of Schrödinger type, having a symplectic matrix as …

We study the Weyl representation of metaplectic operators associated to a symplectic matrix
having no non-trivial fixed point, and justify a formula suggested in earlier work of Mehlig …

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 prove, under some generic assumptions, that the semiclassical spectrum modulo O (ћ 2)
of a one-dimensional pseudodifferential operator completely determines the symplectic …

1. INTRODUCTION Hamiltonian theory of nonlinear evolution equations has made
considerable progress since 197 1, when the interpretation of the Korteweg-de Vries (KdV) …

Here we give brief account of Hermitian symplectic spaces, showing that they are intimately
connected to symmetric as well as self-adjoint extensions of a symmetric operator …