2 citations · 6 across the 13 of their papers we have counts for
15 papers
On norms on Harish-Chandra modules
Joseph Bernstein, Pritam Ganguly, Bernhard Krötz +2
The Casselman-Wallach theorem is a foundational result in the theory of representations of real reductive groups connecting algebraic representations to topological representations…
On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces
Bernhard Krötz, Job J. Kuit, Henrik Schlichtkrull
In this article we give an overview of the Plancherel theory for Riemannian symmetric spaces Z = G/K. In particular we illustrate recently developed methods in Plancherel theory fo…
A note on -factorizations of representations
Pritam Ganguly, Bernhard Krötz, Job J. Kuit
In this paper we give an overview on -factorizations of Lie group representations and introduce the notion of smooth -factorization.
The most continuous part of the Plancherel decomposition for a real spherical space
Job J. Kuit, Eitan Sayag
In this article we give a precise description of the Plancherel decomposition of the most continuous part of for a real spherical homogeneous space . Our starting poi…
Discrete series representations with non-tempered embedding
Bernhard Krötz, Job J. Kuit, Henrik Schlichtkrull
We give an example of a semisimple symmetric space and an irreducible representation of which has multiplicity 1 in and multiplicity 2 in .
A Paley-Wiener theorem for Harish-Chandra modules
Heiko Gimperlein, Bernhard Krötz, Job J. Kuit +1
We formulate and prove a Paley-Wiener theorem for Harish-Chandra modules for a real reductive group. As a corollary we obtain a new and elementary proof of the Helgason conjecture.
Ellipticity and discrete series
Bernhard Krötz, Job J. Kuit, Eric M. Opdam +1
We explain by elementary means why the existence of a discrete series representation of a real reductive group implies the existence of a compact Cartan subgroup of . The pr…
On the little Weyl group of a real spherical space
Job J. Kuit, Eitan Sayag
In the present paper we further the study of the compression cone of a real spherical homogeneous space . In particular we provide a geometric construction of the little Wey…
-invariant cusp forms for reductive symmetric spaces of split rank one
Erik P. van den Ban, Job J. Kuit, Henrik Schlichtkrull
Let be a reductive symmetric space of split rank and let be a maximal compact subgroup of . In a previous article the first two authors introduced a notion of cusp…
Cuspidal integrals and subseries for
Mogens Flensted-Jensen, Job J. Kuit
We show that for the symmetric spaces and the cuspidal integrals are absolutely conver…
The infinitesimal characters of discrete series for real spherical spaces
Bernhard Krötz, Job J. Kuit, Eric M. Opdam +1
Let be the homogeneous space of a real reductive group and a unimodular real spherical subgroup, and consider the regular representation of on . It is shown tha…
Cusp forms for reductive symmetric spaces of split rank one
Erik P. van den Ban, Job J. Kuit
For reductive symmetric spaces G/H of split rank one we identify a class of minimal parabolic subgroups for which certain cuspidal integrals of Harish-Chandra - Schwartz functions…
Normalizations of Eisenstein integrals for reductive symmetric spaces
Erik P. van den Ban, Job J. Kuit
We construct minimal Eisenstein integrals for a reductive symmetric space G/H as matrix coefficients of the minimal principal series of G. The Eisenstein integrals thus obtained in…
The notion of cusp forms for a class of reductive symmetric spaces of split rank one
Erik P. van den Ban, Job J. Kuit, Henrik Schlichtkrull
We study a notion of cusp forms for the symmetric spaces G/H with G = SL(n,R) and H = S(GL(n-1,R) x GL(1,R)). We classify all minimal parabolic subgroups of G for which the associa…
Radon transformation on reductive symmetric spaces: support theorems
J. J. Kuit
We introduce a class of Radon transforms for reductive symmetric spaces, including the horospherical transforms, and study some of their properties. In particular we obtain a suppo…