Eirik Berge

collaborators

4 papers

math.FA2020

Interpolation in Wavelet Spaces and the HRT-Conjecture

Eirik Berge

We investigate the wavelet spaces $W_{g} (H_{π}) \subset L^{2} (G)$ arising from square integrable representations $π : G \to U (H_{π})$ of a locally…

math-ph2019

The Affine Wigner Distribution

Eirik Berge, Stine Marie Berge, Franz Luef

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 (af…

math.FA2019

$α$ -modulation spaces for step two stratified Lie groups

Eirik Berge

We define and investigate $α$ -modulation spaces $M_{p, q}^{s, α} (G)$ associated to a step two stratified Lie group $G$ with rational structure constants. This is an extension of the…

math.FA2019

A Large Scale Approach to Decomposition Spaces

Eirik Berge, Franz Luef

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 of the set determines…

Interpolation in Wavelet Spaces and the HRT-Conjecture

The Affine Wigner Distribution

α-modulation spaces for step two stratified Lie groups

A Large Scale Approach to Decomposition Spaces

$α$ -modulation spaces for step two stratified Lie groups