8 papers
The Stability Landscape in Wave-Packet Scattering: Geometric Rigidity and Sharp Sobolev Thresholds
Max Getter, S. Ivan Trapasso
A central challenge in modern harmonic analysis is to quantify the balance between the approximation power of finely resolved multiscale representations and their robustness to non…
A quantum harmonic analysis approach to nonlinear time-frequency concentration
Erling A. T. Svela, S. Ivan Trapasso
We study nonlinear concentration problems for time-frequency distributions in the Cohen class. Using recent techniques from quantum harmonic analysis (QHA) we provide both positive…
On the existence of optimizers for nonlinear time-frequency concentration problems: the Born--Jordan distribution
Federico Stra, Erling A. T. Svela, S. Ivan Trapasso
We study the concentration problem for the Born--Jordan distribution in dimension , thus extending the one-dimensional analysis in [Stra-Svela-Trapasso, J. Math. Pures A…
On the existence of optimizers for nonlinear time-frequency concentration problems: the Wigner distribution
Federico Stra, Erling A. T. Svela, S. Ivan Trapasso
We prove that, for any measurable phase space subset with and any , the nonlinear concentration problem $$ \sup_{f \in L…
Sparse Gabor representations of metaplectic operators: controlled exponential decay and Schrödinger confinement
Elena Cordero, Gianluca Giacchi, Edoardo Pucci +1
Motivated by the phase space analysis of Schrödinger evolution operators, in this paper we investigate how metaplectic operators are approximately diagonalized along the correspon…
Wave packet analysis of semigroups generated by quadratic differential operators
S. Ivan Trapasso
We perform a phase space analysis of evolution equations associated with the Weyl quantization of a complex quadratic form on with non-positi…