A Paley-Wiener theorem for Harish-Chandra modules
arXiv:2010.04464 · doi:10.4310/CJM.2022.v10.n3.a3
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.
Submitted version; with two appendices on the Helgason conjecture and an application