Gap Labelling for Almost Periodic Sturm-Liouville Operators

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Gerald Teschl, Yifei Wang, Bing Xie, Zhe Zhou
DOI: 10.48550/arxiv.2601.18312
Cited by: 0

Abstract

In this paper, we introduce a rotation number for almost periodic Sturm-Liouville operators in the spirit of Johnson and Moser. We then prove the gap labelling theorem in terms of rotation numbers for the operator in question. To do this, we rigorously prove the almost periodicity of Green's functions.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Mathematical Dynamics and Fractals Advanced Mathematical Physics Problems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 January 2026
Document type
Preprint