Continuous Measures on Homogenous Spaces
Dynamical Systems
2009-01-20 v2
Abstract
In this paper we generalize Wiener's characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.
Keywords
Cite
@article{arxiv.0809.3271,
title = {Continuous Measures on Homogenous Spaces},
author = {Michael Björklund and Alexander Fish},
journal= {arXiv preprint arXiv:0809.3271},
year = {2009}
}
Comments
4 pages, to appear in Annales de l'Institut Fourier