Semiclassical analysis on compact nilmanifolds
Spectral Theory
2025-04-23 v3 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this paper, we define and study semi-classical analysis and semi-classical limits on compact nil-manifolds. As an application, we obtain properties of quantum limits for sub-Laplacians in this context, and more generally for positive Rockland operators.
Cite
@article{arxiv.2101.07027,
title = {Semiclassical analysis on compact nilmanifolds},
author = {Veronique Fischer},
journal= {arXiv preprint arXiv:2101.07027},
year = {2025}
}
Comments
33 pages