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

Patrick Delorme (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Domaines: Mathématiques [math]

Patrick Delorme. Scattering and a Plancherel formula of spherical varieties for real reductive split groups. 2022. ⟨hal-03582813⟩