107 citations · 499 across the 25 of their papers we have counts for
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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…
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…
Standard subspaces of Hilbert spaces of holomorphic functions on tube domains
Karl-Hermann Neeb, Bent Ørsted, Gestur Olafsson
In this article we study standard subspaces of Hilbert spaces of vector-valued holomorphic functions on tube domains E + i C^0, where C \subeq E is a pointed generating cone invari…
The Berezin form on symmetric -spaces and reflection positivity
Jan Möllers, Gestur Ólafsson, Bent Ørsted
For a symmetric -space the standard intertwining operators provide a canonical -invariant pairing between sections of line bundles over and its opposite $G/\o…
Real double flag varieties for the symplectic group
Kyo Nishiyama, Bent Ørsted
In this paper we study a key example of a Hermitian symmetric space and a natural associated double flag variety, namely for the real symplectic group and the symmetric subgrou…
Knapp-Stein Type Intertwining Operators for Symmetric Pairs II. -- The Translation Principle and Intertwining Operators for Spinors
Jan Frahm, Bent Ørsted
For a symmetric pair of reductive groups we extend to a large class of generalized principal series representations our previous construction of meromorphic families of sym…
A Plancherel formula for L^2(G/H) for almost symmetric subgroups
Bent Orsted, Birgit Speh
In this paper we study the Plancherel formula for a new class of homogeneous spaces for real reductive Lie groups; these spaces are fibered over non-Riemannian symmetric spaces, an…
Conformal covariance for the powers of the Dirac operator
Jean-Louis Clerc, Bent Ørsted
A new proof of the conformal covariance of the powers of the flat Dirac operator is obtained. The proof uses their relation with the Knapp-Stein intertwining operators for the spin…
The compact picture of symmetry breaking operators for rank one orthogonal and unitary groups
Jan Frahm, Bent Ørsted
We present a method to calculate intertwining operators between the underlying Harish-Chandra modules of degenerate principal series representations of a semisimple Lie group a…
Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups
Jan Möllers, Bent Ørsted, Genkai Zhang
We explicitly construct a finite number of discrete components in the restriction of complementary series representations of rank one semisimple groups to rank one subgroups $G…
Knapp-Stein type intertwining operators for symmetric pairs
Jan Möllers, Bent Ørsted, Yoshiki Oshima
For a symmetric pair of reductive groups we construct a family of intertwining operators between spherical principal series representations of and that are induced…
Branching laws for Verma modules and applications in parabolic geometry. I
Toshiyuki Kobayashi, Bent Ørsted, Petr Somberg +1
We initiate a new study of differential operators with symmetries and combine this with the study of branching laws for Verma modules of reductive Lie algebras. By the criterion fo…
Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
Joachim Hilgert, Toshiyuki Kobayashi, Jan Möllers +1
For any Hermitian Lie group G of tube type we construct a Fock model of its minimal representation. The Fock space is defined on the minimal nilpotent K_C-orbit X in p_C and the L^…
Conformally invariant trilinear forms on the sphere
Jean-Louis Clerc, Bent Orsted
To each complex number is associated a representation of the conformal group on (spherical principal series). For three values $λ…
Laguerre semigroup and Dunkl operators
Salem Ben Said, Toshiyuki Kobayashi, Bent Orsted
We construct a two-parameter family of actions ω_{k,a} of the Lie algebra sl(2,R) by differential-difference operators on R^N \setminus {0}. Here, k is a multiplicity-function for…
Analysis on the minimal representation of O(p,q) -- III. ultrahyperbolic equations on R^{p-1,q-1}
Toshiyuki Kobayashi, Bent Orsted
For the group O(p,q) we give a new construction of its minimal unitary representation via Euclidean Fourier analysis. This is an extension of the q = 2 case, where the representati…
Analysis on the minimal representation of O(p,q) -- II. Branching laws
Toshiyuki Kobayashi, Bent Orsted
This is a second paper in a series devoted to the minimal unitary representation of O(p,q). By explicit methods from conformal geometry of pseudo-Riemannian manifolds, we find the…
Analysis on the minimal representation of O(p,q) -- I. Realization via conformal geometry
Toshiyuki Kobayashi, Bent Orsted
This is the first in a series of papers devoted to an analogue of the metaplectic representation, namely, the minimal unitary representation of an indefinite orthogonal group; this…