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Scattering and a Plancherel formula of spherical varieties for real reductive split groups (2010.10830v2)
Published 21 Oct 2020 in math.RT
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.
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