Blar i Institutt for matematiske fag på forfatter "Berge, Eirik"
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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 ... -
On G2 and sub-Riemannian model spaces of step and rank three
Berge, Eirik; Grong, Erlend (Peer reviewed; Journal article, 2021)We give the complete classification of all sub-Riemannian model spaces with both step and rank three. Model spaces in this context refer to spaces where any infinitesimal isometry between horizontal tangent spaces can be ... -
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 ... -
α -Modulation Spaces for Step Two Stratified Lie Groups
Berge, Eirik (Journal article; Peer reviewed, 2022)We define and investigate α-modulation spaces Ms,α p,q(G) associated to a step two stratified Lie group G with rational structure constants. This is an extension of the Euclidean α-modulation spaces Ms,α p,q(Rn) that act ...