7 papers
Yang-Mills connections and sigma-models on quantum Heisenberg manifolds
Stine Marie Berge, Sooran Kang, Franz Luef
We construct a spectral triple on a quantum Heisenberg manifold, which generalizes the results of Chakraborty and Shinha, and associate to it an energy functional on the set of pro…
Eigenvalues on Spherically Symmetric Manifolds
Stine Marie Berge
In this article we will explore Dirichlet Laplace eigenvalues on balls on spherically symmetric manifolds. We will compare any Dirichlet Laplace eigenvalue with the corresponding D…
Kuttler-Sigillito's Inequalities and Rellich-Christianson Identity
Stine Marie Berge
This article has two main objectives. The first one is to show Kuttler-Sigillito's type inequalities involving the mixed Neumann-Dirichlet, mixed Steklov-Dirichlet, and mixed Robin…
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…
On the three ball theorem for solutions of the Helmholtz equation
Stine Marie Berge, Eugenia Malinnikova
Let be a solution of the Helmholtz equation with the wave number , , on a small ball in either , , or . For a fix…
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…