Semiclassical analysis on compact nilmanifolds

2021/01/18 by Fischer, Veronique
#22E30 #35H20 #35P20 #43A32 #43A85 #81Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2101.07027

Abstract

In this paper, we define and study semi-classical analysis and semi-classical limits on compact nil-manifolds. As an application, we obtain properties of quantum limits for sub-Laplacians in this context, and more generally for positive Rockland operators.

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