Scattering and a Plancherel formula of spherical varieties for real reductive split groups

Fuente: arXiv
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Main Author: Delorme, Patrick
Format: Preprint
Published: 2020
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author Delorme, Patrick
author_facet Delorme, Patrick
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2010_10830
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Scattering and a Plancherel formula of spherical varieties for real reductive split groups
Delorme, Patrick
Representation Theory
22E50
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.
title Scattering and a Plancherel formula of spherical varieties for real reductive split groups
topic Representation Theory
22E50
url https://arxiv.org/abs/2010.10830