7 papers
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 .…
Construction and analysis of symmetry breaking operators for the pair
Jonathan Ditlevsen, Jan Frahm
The pair of real reductive groups is a strong Gelfand pair, i.e. the multiplicities $\dim\operatorname{H…
Realization of unitary representations of the Lorentz group on de Sitter space
Jan Frahm, Karl-Hermann Neeb, Gestur Olafsson
This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups acting on a non-compactly causal symmetric space , every…
The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula II. Non-tube type groups
Jan Frahm, Gestur Ólafsson, Bent Ørsted
For every simple Hermitian Lie group , we consider a certain maximal parabolic subgroup whose unipotent radical is either abelian (if is of tube type) or two-step nilpot…
Symmetry breaking for over non-archimedean local fields
Corina Ciobotaru, Jan Frahm
For a quadratic extension of non-archimedean local fields we construct explicit holomorphic families of intertwining operators between principal series repr…
Heisenberg parabolically induced representations of Hermitian Lie groups, Part II: Next-to-minimal representations and branching rules
Jan Frahm, Clemens Weiske, Genkai Zhang
Every simple Hermitian Lie group has a unique family of spherical representations induced from a maximal parabolic subgroup whose unipotent radical is a Heisenberg group. For most…