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arXiv · 2010.10830

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

Patrick Delorme
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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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Patrick Delorme. 2020-10-21. Scattering and a Plancherel formula of spherical varieties for real reductive split groups. https://arxiv.org/abs/2010.10830

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