Scattering and a Plancherel formula of spherical varieties for real reductive split groups
Representation Theory
2026-04-03 v3
Abstract
We establish the analog for real spherical varieties of the Scattering Theorem of Sakellaridis and Venkatesh (\cite{SV}, Theorem 7.3.1) for p-adic spherical varieties. We use properties of the Harish-Chandra homomorphism of Knop for invariant differential operators of the variety, special coverings of the variety and spectral projections.
Cite
@article{arxiv.2010.10830,
title = {Scattering and a Plancherel formula of spherical varieties for real reductive split groups},
author = {Patrick Delorme},
journal= {arXiv preprint arXiv:2010.10830},
year = {2026}
}
Comments
More general version appears as arXiv:2305.1867. Also some gaps