A Paley-Wiener theorem for Harish-Chandra modules
Representation Theory
2022-08-02 v3
Abstract
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.
Cite
@article{arxiv.2010.04464,
title = {A Paley-Wiener theorem for Harish-Chandra modules},
author = {Heiko Gimperlein and Bernhard Krötz and Job J. Kuit and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:2010.04464},
year = {2022}
}
Comments
Submitted version; with two appendices on the Helgason conjecture and an application