35 citations · 133 across the 26 of their papers we have counts for
28 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^2…
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 correspond…
Compressed sensing for inverse problems II: applications to deconvolution, source recovery, and MRI
Giovanni S. Alberti, Alessandro Felisi, Matteo Santacesaria +1
This paper extends the sample complexity theory for ill-posed inverse problems developed in a recent work by the authors [`Compressed sensing for inverse problems and the sample co…