2024/09/09 by Véronique Fischer, Fischer, Véronique, Søren Mikkelsen +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2409.05520
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.