5 papers
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…
Extensions of Daubechies' theorem: Reinhardt domains, Hagedorn wavepackets and mixed-state localization operators
Erling A. T. Svela
Daubechies-type theorems for localization operators are established in the multi-variate setting, where Hagedorn wavepackets are identified as the proper substitute of the Hermite…
On quantum large sieve inequalities and operator recovery from incomplete information
LuÃs Daniel Abreu, Michael Speckbacher, Erling A. T. Svela
We obtain large sieve type inequalities for the Rayleigh quotient of the restriction of phase space representations of higher rank operators, via an operator analogue of the short-…