Lower bounds for operators on graded Lie groups
Functional Analysis
2013-02-22 v2 Analysis of PDEs
Representation Theory
Abstract
In this note we present a symbolic pseudo-differential calculus on graded nilpotent Lie groups and, as an application, a version of the sharp Garding inequality. As a corollary, we obtain lower bounds for positive Rockland operators with variable coefficients as well as their Schwartz-hypoellipticity.
Cite
@article{arxiv.1301.0642,
title = {Lower bounds for operators on graded Lie groups},
author = {Veronique Fischer and Michael Ruzhansky},
journal= {arXiv preprint arXiv:1301.0642},
year = {2013}
}