59 citations · 419 across the 51 of their papers we have counts for
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Schrödinger equations with rough Hamiltonians
Elena Cordero, Fabio Nicola, Luigi Rodino
We consider a class of linear Schrödinger equations in R^d with rough Hamiltonian, namely with certain derivatives in the Sjöstrand class . We prove that the correspo…
Sharp results for the Weyl product on modulation spaces
Elena Cordero, Joachim Toft, Patrik Wahlberg
We give sufficient and necessary conditions on the Lebesgue exponents for the Weyl product to be bounded on modulation spaces. The sufficient conditions are obtained as the restric…
Wave packet analysis of Schrodinger equations in analytic function spaces
Elena Cordero, Fabio Nicola, Luigi Rodino
We consider a class of linear Schroedinger equations in R^d, with analytic symbols. We prove a global-in-time integral representation for the corresponding propagator as a generali…
Propagation of the Gabor Wave Front Set for Schrödinger Equations with non-smooth potentials
Elena Cordero, Fabio Nicola, Luigi Rodino
We consider Scrödinger equations with real-valued smooth Hamiltonians, and non-smooth bounded pseudo-differential potentials, whose symbols may be not even differentiable. The well…
Generalized Metaplectic Operators and the Schrödinger Equation with a Potential in the Sjöstrand Class
Elena Cordero, Karlheinz Gröchenig, Fabio Nicola +1
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 g…
Exponentially sparse representations of Fourier integral operators
Elena Cordero, Fabio Nicola, Luigi Rodino
We investigate the sparsity of the Gabor-matrix representation of Fourier integral operators with a phase having quadratic growth. It is known that such an infinite matrix is spars…