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arXiv · 1211.2781

Vanishing at infinity on homogeneous spaces of reductive type

Bernhard Krötz·Eitan Sayag·Henrik Schlichtkrull
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Abstract

Let G be a real reductive group and Z=G/H a unimodular homogeneous G-space. The space Z is said to satisfy VAI if all smooth vectors in the Banach representations L^{p}(Z) vanish at infinity, 1 <=p. For H connected we show that Z satisfies VAI if and only if it is of reductive type.

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Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull. 2012-11-12. Vanishing at infinity on homogeneous spaces of reductive type. https://arxiv.org/abs/1211.2781

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