• Functionals with extrema at reproducing kernels 

      Kulikov, Aleksei (Journal article; Peer reviewed, 2022-07-12)
      We show that certain monotone functionals on the Hardy spaces and convex functionals on the Bergman spaces are maximized at the normalized reproducing kernels among the functions of norm 1, thus proving the contractivity ...
    • Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants 

      Luef, Franz; Wang, Xu (Peer reviewed; Journal article, 2023)
      We investigate the frame set of regular multivariate Gaussian Gabor frames using methods from Kähler geometry such as Hörmander’s - estimate with singular weight, Demailly’s Calabi–Yau method for Kähler currents and a ...
    • Idempotent Fourier multipliers acting contractively on Hp spaces 

      Brevig, Ole Fredrik; Ortega-Cerdà, Joaquim; Seip, Kristian (Peer reviewed; Journal article, 2021)
      We describe the idempotent Fourier multipliers that act contractively on Hp spaces of the d-dimensional torus Td for d≥1 and 1≤p≤∞. When p is not an even integer, such multipliers are just restrictions of contractive ...