9 citations · 12 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
On Sobolev norms for Lie group representations
Heiko Gimperlein, Bernhard Krötz
We define Sobolev norms of arbitrary real order for a Banach representation of a Lie group, with regard to a single differential operator . Here, is a Lap…
Classification of reductive real spherical pairs II. The semisimple case
Friedrich Knop, Bernhard Krötz, Tobias Pecher +1
If is a real reductive Lie algebra and is a subalgebra, then is called real spherical provided that…
Decay on homogeneous spaces of reductive type
Bernhard Krotz, Eitan Sayag, Henrik Schlichtkrull
In this paper we explore homogeneous spaces Z=G/H of a a real reductive Lie group G with a closed connected subgroup H. The investigation concerns the decay at infinity of smooth f…
On function spaces on symmetric spaces
Bernhard Krötz, Henrik Schlichtkrull
Let Y=G/H be a semisimple symmetric space. It is shown that the smooth vectors for the regular representation of G on L^p(Y) vanish at infinity.