13 citations · 38 across the 14 of their papers we have counts for
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Pseudo-dual pairs and branching of Discrete Series
Bent Ørsted, Jorge A. Vargas
For a semisimple Lie group , we study Discrete Series representations with admissible branching to a symmetric subgroup . This is done using a canonical associated symmetric…
Some branching laws for symmetric spaces
Bent Orsted, Birgit Speh
In this paper we consider the unitary symmetric spaces of the form X=U(p,q)/U(1)U(p,q-1) and their discrete series representations. Inspired by the work of A.Venkatesh and Y.Sekell…
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…
Classification of -type formulas for the Heisenberg ultrahyperbolic operator for and tridiagonal determinants for local Heun functions
Toshihisa Kubo, Bent Ørsted
The -type formulas of the space of -finite solutions to the Heisenberg ultrahyperbolic equation for the non-linear group are cla…
Branching laws for discrete series of some affine symmetric spaces
Bent Orsted, Birgit Speh
In this paper we study branching laws for certain unitary representations. This is done on the smooth vectors via a version of the {\it period integrals}, studied in number theory,…
Branching problems in reproducing kernel spaces
Bent Orsted, Jorge A. Vargas
For a semisimple Lie group satisfying the equal rank condition, the most basic family of unitary irreducible representations is the discrete series found by Harish-Chandra. In…