论文标题

实际还原分组的球形品种的散射和平板公式

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

论文作者

Delorme, Patrick

论文摘要

我们为p-Adic球形品种的Sakellaridis和Venkatesh散射定理的真实球形品种建立了类似物。我们将诺里什 - chandra同态的特性用于多样性的不变差分运算符,多样性和光谱投影的特殊覆盖物。

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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