Some remarks on semi-classical analysis on two-step Nilmanifolds

Clotilde Fermanian Kammerer; Véronique Fischer; Steven Flynn

Some remarks on semi-classical analysis on two-step Nilmanifolds

Clotilde Fermanian Kammerer, Véronique Fischer, Steven Flynn

Department of Mathematical Sciences

Research output: Working paper / Preprint › Preprint

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Abstract

In this paper, we present recent results about the developement of a semiclassical approach in the setting of nilpotent Lie groups and nilmanifolds. We focus on two-step nilmanifolds and exhibit some properties of the weak limits of sequence of densities associated with eigenfunctions of a sub-Laplacian. We emphasize the influence of the geometry on these properties.

Original language	Undefined/Unknown
Publication status	Published - 25 Nov 2022

Keywords

math.AP

Access to Document

2211.14273v1

https://arxiv.org/abs/2211.14273Licence: CC BY

Cite this

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