2 citations · 2 across the 5 of their papers we have counts for
8 papers
A Quantum Harmonic Analysis Approach to Segal Algebras
Eirik Berge, Stine Marie Berge, Robert Fulsche
In this article, we study a commutative Banach algebra structure on the space , where the denotes the trace class operator…
A Brief Introduction to the Feichtinger Algebra
Eirik Berge
This note highlights the key aspects of the Feichtinger algebra on the real line for non-experts.
Affine Quantum Harmonic Analysis
Eirik Berge, Stine M. Berge, Franz Luef +1
We develop a quantum harmonic analysis framework for the affine group. This encapsulates several examples in the literature such as affine localization operators, covariant integra…
A Primer on Coorbit Theory -- From Basics to Recent Developments
Eirik Berge
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.…
Interpolation in Wavelet Spaces and the HRT-Conjecture
Eirik Berge
We investigate the wavelet spaces arising from square integrable representations of a locally…
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…