Decay on homogeneous spaces of reductive type
Representation Theory
2012-11-14 v2
Abstract
In this paper we explore homogeneous spaces Z=G/H of a a real reductive Lie group G with a closed connected subgroup H. The investigation concerns the decay at infinity of smooth functions on Z, and L^p-integrability of matrix coefficients. These results are used in a study of the asymptotic density of lattice points on Z. Explicit examples are given of spaces for which results are new.
Keywords
Cite
@article{arxiv.1106.1331,
title = {Decay on homogeneous spaces of reductive type},
author = {Bernhard Krotz and Eitan Sayag and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:1106.1331},
year = {2012}
}
Comments
Withdrawn by the authors. Lemma 7.6 is false as stated, and Appendix B is flawed. Corrected and reorganized versions of the material will be posted in papers with different titles