On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces
Representation Theory
2026-03-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2409.08113,
title = {On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces},
author = {Bernhard Krötz and Job J. Kuit and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:2409.08113},
year = {2026}
}
Comments
Accepted for publication in the Harish-Chandra Centenary volume of the Proceedings of the Indian Academy of Sciences