59 citations · 159 across the 37 of their papers we have counts for
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Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians
Karel Pravda-Starov, Luigi Rodino, Patrik Wahlberg
We study propagation of the Gabor wave front set for a Schrödinger equation with a Hamiltonian that is the Weyl quantization of a quadratic form with non-negative real part. We poi…
Propagation of singularities for semilinear Schrödinger equations
Fabio Nicola, Luigi Rodino
We study the propagation of singularities for semilinear Schrodinger equations with quadratic Hamiltonians, in particular for the semilinear harmonic oscillator. We show that the p…
Gabor wave packets and evolution operators
Elena Cordero, Fabio Nicola, Luigi Rodino
We perform a Gabor analysis for a large class of evolution equations with constant coefficients. We show that the corresponding propagators have a very sparse Gabor matrix, display…
Integral Representations for the Class of Generalized Metaplectic Operators
E. Cordero, F. Nicola, L. Rodino
This article gives explicit integral formulas for the so-called generalized metaplectic operators, i.e. Fourier integral operators (FIOs) of Schrödinger type, having a symplectic m…
Radial symmetric elements and the Bargmann transform
Marco Cappiello, Luigi Rodino, Joachim Toft
We prove that a function or distribution on $\rr d$ is radial symmetric, if and only if its Bargmann transform is a composition by an entire function on and the canonic…