Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds
Analysis of PDEs
2024-09-10 v1 Mathematical Physics
Functional Analysis
math.MP
Representation Theory
Abstract
In this paper, we show that the semiclassical calculus recently developed on nilpotent Lie groups and nilmanifolds include the functional calculus of suitable subelliptic operators. Moreover, we obtain Weyl laws for these operators. Amongst these operators are sub-Laplacians in horizontal divergence form perturbed with a potential and their generalisations.
Cite
@article{arxiv.2409.05520,
title = {Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds},
author = {Véronique Fischer and Søren Mikkelsen},
journal= {arXiv preprint arXiv:2409.05520},
year = {2024}
}