• Gabor duality theory for Morita equivalent C*-algebras 

      Austad, Are; Jakobsen, Mads Sielemann; Luef, Franz (Journal article; Peer reviewed, 2020)
      The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a far-reaching generalization to Morita equivalence bimodules with some extra properties. For certain twisted group C∗-algebras, ...
    • On a (No Longer) New Segal Algebra: A Review of the Feichtinger Algebra 

      Jakobsen, Mads Sielemann (Journal article; Peer reviewed, 2018)
      Since its invention in 1979 the Feichtinger algebra has become a useful Banach space of functions with applications in time-frequency analysis, the theory of pseudo-differential operators and several other topics. It is ...
    • Sampling and periodization of generators of Heisenberg modules 

      Jakobsen, Mads Sielemann; Luef, Franz (Journal article; Peer reviewed, 2019)
      This paper considers generators of Heisenberg modules in the case of twisted group C∗-algebras of closed subgroups of locally compact abelian (LCA) groups and how the restriction and/or periodization of these generators ...
    • Solitons of general topological charge over noncommutative tori 

      Dabrowski, Ludwik; Jakobsen, Mads Sielemann; Landi, Giovanni; Luef, Franz (Peer reviewed; Journal article, 2021)
      We study solitons of general topological charge over noncommutative tori from the perspective of time-frequency analysis. These solitons are associated with vector bundles of higher rank, expressed in terms of vector-valued ...
    • Time-frequency analysis on the adeles over the rationals 

      Enstad, Ulrik Bo Rufus; Jakobsen, Mads Sielemann; Luef, Franz (Journal article; Peer reviewed, 2019)
      We show that the construction of Gabor frames in with generators in and with respect to time-frequency shifts from a rectangular lattice is equivalent to the construction of certain Gabor frames for over the adeles over ...