Semiclassical analysis on compact nilmanifolds

Fuente: arXiv
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Main Author: Fischer, Veronique
Format: Preprint
Published: 2021
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_version_ 1866908329785163776
author Fischer, Veronique
author_facet Fischer, Veronique
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2101_07027
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Semiclassical analysis on compact nilmanifolds
Fischer, Veronique
Spectral Theory
Mathematical Physics
Analysis of PDEs
43A85, 43A32, 22E30, 35H20, 35P20, 81Q10
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.
title Semiclassical analysis on compact nilmanifolds
topic Spectral Theory
Mathematical Physics
Analysis of PDEs
43A85, 43A32, 22E30, 35H20, 35P20, 81Q10
url https://arxiv.org/abs/2101.07027