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We establish the analog for real spherical varieties of the ScatteringTheorem of Sakellaridis and Venkatesh (\cite{SV}, Theorem 7.3.1) for p-adicspherical varieties. We use properties of the Harish-Chandra homomorphism ofKnop for invariant differential operators of the variety, special coverings ofthe variety and spectral projections.

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