6 papers
The metaplectic semigroup and its applications to time-frequency analysis and evolution operators
Gianluca Giacchi, Luigi Rodino, Davide Tramontana
We develop a systematic analysis of the metaplectic semigroup associated with positive complex symplectic matrices, a notion introduced almost simulta…
Schrödinger ultrahyperbolic equations with singular coefficients
Claudia Garetto, Davide Tramontana
In this paper we investigate the Cauchy problem for Schrödinger ultrahyperbolic equations with singular (less than continuous) coefficients. We prove well-posedness in…
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 metapl…
Subelliptic Random Walks on Riemannian Manifolds and Their Convergence to Equilibrium
Davide Tramontana
The aim of this work is to study the convergence to equilibrium of an -subelliptic random walk on a closed, connected Riemannian manifold associated with a subellip…
Propagation of Shubin-Sobolev singularities of Weyl-quantizations of complex quadratic forms
Marcello Malagutti, Alberto Parmeggiani, Davide Tramontana
The aim of this work is to develop the Hörmander microlocal theory in the isotropic framework and use the results we obtain to study the propagation of singularities for an evolut…
Smoothing effect for third order operators with variable coefficients
Serena Federico, Davide Tramontana
In this work we study the smoothing effect of some variable coefficient operators of the form , where is a Weyl-quantized pseudo-differential operator of order .…