Cambridge Journal of Mathematics
Volume 10 (2022)
A Paley–Wiener theorem for Harish–Chandra modules
Pages: 689 – 742
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.
minimal globalization, Helgason conjecture
2010 Mathematics Subject Classification
Primary 22E45. Secondary 43A85.
Received 9 January 2021
Published 22 July 2022