Classical Analysis and Nilpotent Lie Groups
Classical Analysis and ODEs
2010-12-07 v1
Abstract
Classical Fourier analysis has an exact counterpart in group theory and in some areas of geometry. Here I'll describe how this goes for nilpotent Lie groups and for a class of Riemannian manifolds closely related to a nilpotent Lie group structure. There are also some infinite dimensional analogs but I won't go into that here. The analytic ideas are not so different from those of the classical Fourier transform and Fourier inversion theories in one real variable.
Cite
@article{arxiv.1012.1289,
title = {Classical Analysis and Nilpotent Lie Groups},
author = {Joseph A. Wolf},
journal= {arXiv preprint arXiv:1012.1289},
year = {2010}
}
Comments
Expository article; to appear in Edizioni della Scuola Normale di Pisa