• Convolutions for Berezin quantization and Berezin-Lieb inequalities 

      Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2018)
      Concepts and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, are identified as the appropriate setting for Berezin quantization and Berezin-Lieb ...
    • Convolutions for localization operators 

      Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2018)
      Quantum harmonic analysis on phase space is shown to be linked with localization operators. The convolution between operators and the convolution between a function and an operator provide a conceptual framework for the ...
    • Convolutions for Localization Operators 

      Skrettingland, Eirik (Master thesis, 2017)
      The theory of quantum harmonic analysis on phase space introduced by Werner is presented and formulated precisely using the terminology of time-frequency analysis and abstract harmonic analysis. Convolutions of functions ...
    • Mixed-State Localization Operators: Cohen’s Class and Trace Class Operators 

      Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2019)
      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 ...
    • On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators 

      Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2019)
      Recently we introduced mixed-state localization operators associated with a density operator and a (compact) domain in phase space. We continue the investigations of their eigenvalues and eigenvectors. Our main focus is ...