Invariant measures on homogeneous spaces, with applications to function spaces and lattice counting

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Research output: Working paper/PreprintPreprint

10 Downloads (Pure)

Abstract

Let G be a real reductive group and G/H a unimodular homogeneous G space with a closed connected subgroup H. We establish estimates for the invariant measure on G/H. Using these, we prove that all smooth vectors in the Banach representation L^p(G/H) of G are functions that vanish at infinity if and only if G/H is of reductive type. An application to lattice counting on G/H is presented.
Original languageEnglish
PublisherarXiv:1004.1942 [math.RT]
StatePublished - 12 Apr 2010

Keywords

  • math.RT

Fingerprint

Dive into the research topics of 'Invariant measures on homogeneous spaces, with applications to function spaces and lattice counting'. Together they form a unique fingerprint.

Cite this