Decay of matrix coefficients on reductive homogeneous spaces of spherical type

Abstract

Let Z be a homogeneous space Z=G/H of a real reductive Lie group G with a reductive subgroup H. The investigation concerns the quantitative decay of matrix coefficients on $Z$ under the assumption that Z is of spherical type, that is, minimal parabolic subgroups have open orbits on Z.

References in corpus (2)

• Decomposition Theorems for Triple Spaces
• The harmonic analysis of lattice counting on real spherical spaces