36 citations · 180 across the 36 of their papers we have counts for
44 papers
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…
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…
Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms
Patrick Delorme, Friedrich Knop, Bernhard Krötz +1
Given a unimodular real spherical space we construct for each boundary degeneration of a Bernstein morphism . We show t…
-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…