Frederik Bang-Jensen

collaborators

2 papers

math.RT2024

Explicit Hilbert spaces for the unitary dual of rank one orthogonal groups and applications

Christian Arends, Frederik Bang-Jensen, Jan Frahm

We realize all irreducible unitary representations of the group $SO_{0} (n + 1, 1)$ on explicit Hilbert spaces of vector-valued $L^{2}$ -functions on $R^{n} ∖ {0}$ .…

math.RT2022

An explicit Plancherel formula for line bundles over the one-sheeted hyperboloid

Frederik Bang-Jensen, Jonathan Ditlevsen

In this paper we consider $G = SL (2, R)$ and $H$ the subgroup of diagonal matrices. Then $X = G / H$ is a unimodular homogeneous space which can be identified with…