零能李群及其紧凑零曼弗雷德上的半经典函数微积分

arXiv - MATH - Representation Theory Pub Date : 2024-09-09 DOI:arxiv-2409.05520

Véronique Fischer, Søren Mikkelsen

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引用次数: 0

摘要

在本文中，我们证明了最近在无能烈群和无manifolds 上发展起来的半经典微积分包括合适的亚椭圆算子的函数微积分。此外，我们还得到了这些算子的韦尔定律。在这些算子中，有水平发散形式的亚拉普拉奇算子，以及它们的广义算子。

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Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds

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.

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arXiv - MATH - Representation Theory

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