On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces

Bernhard Krötz, Job J. Kuit, Henrik Schlichtkrull

Published 2024-09-12Version 1

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 for real spherical spaces by explicating them for Riemannian symmetric spaces, and we explain how Harish-Chandra's Plancherel theorem for Z can be proven from these methods.