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math.RT2022★ 1 cited
Heisenberg parabolically induced representations of Hermitian Lie groups, Part I: Unitarity and subrepresentations
Jan Frahm, Clemens Weiske, Genkai Zhang
For a Hermitian Lie group , we study the family of representations induced from a character of the maximal parabolic subgroup whose unipotent radical is a Heisenberg…
math.RT2022★ 2 cited
Generalized Laguerre functions and Whittaker vectors for holomorphic discrete series
Jan Frahm, Gestur Ólafsson, Bent Ørsted
We study degenerate Whittaker vectors in scalar type holomorphic discrete series representations of tube type Hermitian Lie groups and their analytic continuation. In four differen…
math.RT2022★ 2 cited
The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula
Jan Frahm, Gestur Ólafsson, Bent Ørsted
For a Hermitian Lie group of tube type we find the contribution of the holomorphic discrete series to the Plancherel decomposition of the Whittaker space , where $N…