Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds

Véronique Fischer; Søren Mikkelsen

Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds

Véronique Fischer
, Søren Mikkelsen

Department of Mathematical Sciences

Research output: Working paper / Preprint › Preprint

41 Downloads (Pure)

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.

Original language	English
Publisher	arXiv
Publication status	Published - 9 Sept 2024

Keywords

math.AP
math-ph
math.FA
math.MP
math.RT
43A85, 43A32, 22E30, 35H20, 35P20, 81Q10

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2409.05520v1

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AB - 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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KW - math.RT

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PB - arXiv

ER -

Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds

Abstract

Keywords

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Cite this