• Heisenberg modules as function spaces 

      Enstad, Ulrik Bo Rufus; Austad, Are (Peer reviewed; Journal article, 2020)
      Let \Delta be a closed, cocompact subgroup of G \times \widehat{G}, where G is a second countable, locally compact abelian group. Using localization of Hilbert C^*-modules, we show that the Heisenberg module \mathcal ...
    • Rational Noncommutative Tori and Gabor Frames 

      Enstad, Ulrik Bo Rufus (Master thesis, 2016)
      A link between noncommutative geometry and time-frequency analysis is used to show that the TKNN equation violates existence results for Gabor frames with atoms in the Schwartz space. In particular, we use that the Schwartz ...
    • 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 ...