Some Remarks on Semi-classical Analysis on Two-Step Nilmanifolds

Clotilde Fermanian Kammerer, Véronique Fischer, Steven Flynn

Research output: Chapter or section in a book/report/conference proceedingChapter or section

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 languageEnglish
Title of host publicationQuantum Mathematics I INdAM 2022
EditorsM. Corregi, M. Falconi
Place of PublicationSingapore
PublisherSpringer Singapore
Pages129-162
Number of pages34
ISBN (Electronic)9789819958948
ISBN (Print)9789819958931
DOIs
Publication statusPublished - 1 Dec 2023

Publication series

NameSpringer INdAM Series
Volume57
ISSN (Print)2281-518X
ISSN (Electronic)2281-5198

Keywords

  • Semiclassical analysis on groups
  • Sub-Laplacians on nilmanifolds

ASJC Scopus subject areas

  • General Mathematics

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