Gap Labelling for Almost Periodic Sturm-Liouville Operators
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917256523415552 |
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| author | Teschl, Gerald Wang, Yifei Xie, Bing Zhou, Zhe |
| author_facet | Teschl, Gerald Wang, Yifei Xie, Bing Zhou, Zhe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18312 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gap Labelling for Almost Periodic Sturm-Liouville Operators Teschl, Gerald Wang, Yifei Xie, Bing Zhou, Zhe Spectral Theory Dynamical Systems 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. |
| title | Gap Labelling for Almost Periodic Sturm-Liouville Operators |
| topic | Spectral Theory Dynamical Systems |
| url | https://arxiv.org/abs/2601.18312 |