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 ${\mathrm{SO}}_0(n+1,1)$ on explicit Hilbert spaces of vector-valued $L^2$-functions on ${\mathbb{R}}^n\setminus \{0\}$.…