B. Krötz

activity

20162023

most citedA Paley-Wiener theorem for Harish-Chandra modules

2 citations · 2 across the 3 of their papers we have counts for

collaborators

11 papers

math.RT2023

A note on $L^{p}$ -factorizations of representations

Pritam Ganguly, Bernhard Krötz, Job J. Kuit

In this paper we give an overview on $L^{p}$ -factorizations of Lie group representations and introduce the notion of smooth $L^{p}$ -factorization.

math.RT2022

Poisson transform and unipotent complex geometry

Heiko Gimperlein, Bernhard Krötz, Luz Roncal +1

Our concern is with Riemannian symmetric spaces $Z = G / K$ of the non-compact type and more precisely with the Poisson transform $P_{λ}$ which maps generalized functions on th…

math.RT2020★ 2 cited

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.

math.RT2020

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 $G$ implies the existence of a compact Cartan subgroup of $G$ . The pr…

math.RT2018

Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms

Patrick Delorme, Friedrich Knop, Bernhard Krötz +1

Given a unimodular real spherical space $Z = G / H$ we construct for each boundary degeneration $Z_{I} = G / H_{I}$ of $Z$ a Bernstein morphism $B_{I} : L^{2} (Z_{I})_{disc} \to L^{2} (Z)$ . We show t…

math.RT2017

The infinitesimal characters of discrete series for real spherical spaces