The bounded spherical functions for the free two step nilpotent Lie group
Classical Analysis and ODEs
2010-12-10 v1 Representation Theory
Abstract
In this paper, we give the expressions for the bounded spherical functions, or equivalently the spherical functions of positive type, for the free two-step nilpotent Lie groups endowed with the actions of orthogonal groups or their special subgroups. Next we deduce some results about the (Kohn) sub-Laplacian, and we compute the radial Plancherel measure.
Keywords
Cite
@article{arxiv.1012.1884,
title = {The bounded spherical functions for the free two step nilpotent Lie group},
author = {Veronique Fischer},
journal= {arXiv preprint arXiv:1012.1884},
year = {2010}
}
Comments
Published in 2006