• Affine quantum harmonic analysis 

      Berge, Eirik; Berge, Stine Marie; Luef, Franz; Skrettingland, Eirik (Journal article; Peer reviewed, 2022)
    • The affine Wigner distribution 

      Berge, Eirik; Berge, Stine Marie; Luef, Franz (Peer reviewed; Journal article, 2022)
      We examine the affine Wigner distribution from a quantization perspective with an emphasis on the underlying group structure. One of our main results expresses the scalogram as (affine) convolution of affine Wigner ...
    • Geometric and Functional Analytic Aspects of Time-Frequency Analysis 

      Berge, Eirik (Doctoral theses at NTNU;2022:74, Doctoral thesis, 2022)
      Sammendrag på norsk Denne avhandlingen omhandler geometriske og funksjonalanalytiske aspekter ved tid-frekvensanalyse. Mer spesifikt drøfter avhandlingen de tre følgende delvis relaterte temaene: Dekomponeringsrom: I ...
    • Interpolation in wavelet spaces and the HRT-conjecture 

      Berge, Eirik (Peer reviewed; Journal article, 2021)
      We investigate the wavelet spaces Wg(Hπ)⊂L2(G) arising from square integrable representations π:G→U(Hπ) of a locally compact group G. We show that the wavelet spaces are rigid in the sense that non-trivial intersection ...
    • A large scale approach to decomposition spaces 

      Luef, Franz; Berge, Eirik (Peer reviewed; Journal article, 2022)
      Decomposition spaces are a class of function spaces constructed out of “well-behaved” coverings and partitions of unity of a set. The structure of the covering determines the properties of the decomposition space. Besov ...
    • A Primer on Coorbit Theory 

      Berge, Eirik (Peer reviewed; Journal article, 2021)
      Coorbit theory is a powerful machinery that constructs a family of Banach spaces, the so-called coorbit spaces, from well-behaved unitary representations of locally compact groups. A core feature of coorbit spaces is that ...