Mixed-state localization operators: Cohen's class and trace class operators

15 Oct 2018 Luef Franz Skrettingland Eirik

We study mixed-state localization operators from the perspective of Werner's operator convolutions which allows us to extend known results from the rank-one case to trace class operators. The idea of localizing a signal to a domain in phase space is approached from various directions such as bounds on the spreading function, probability densities associated to mixed-state localization operators, positive operator valued measures, positive correspondence rules and variants of Tauberian theorems for operator translates... (read more)

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  • FUNCTIONAL ANALYSIS
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS