Some remarks on semi-classical analysis on two-step Nilmanifolds
Analysis of PDEs
2022-11-28 v1
Abstract
In this paper, we present recent results about the developement of a semiclassical approach in the setting of nilpotent Lie groups and nilmanifolds. We focus on two-step nilmanifolds and exhibit some properties of the weak limits of sequence of densities associated with eigenfunctions of a sub-Laplacian. We emphasize the influence of the geometry on these properties.
Cite
@article{arxiv.2211.14273,
title = {Some remarks on semi-classical analysis on two-step Nilmanifolds},
author = {Clotilde Fermanian Kammerer and Véronique Fischer and Steven Flynn},
journal= {arXiv preprint arXiv:2211.14273},
year = {2022}
}