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 on explicit Hilbert spaces of vector-valued -functions on .…
math.SP2023
A Pairing Formula for Resonant States on Finite Regular Graphs
Christian Arends, Jan Frahm, Joachim Hilgert
On a finite regular graph, (co)resonant states are eigendistributions of the transfer operator associated to the shift on one-sided infinite non-backtracking paths. We introduce tw…