Scattering and a Plancherel formula of spherical varieties for real reductive split groups
Abstract
We establish the analog for real spherical varieties of the Scattering Theorem of Sakellaridis and Venkatesh (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.
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