Wave operators for Jacobi matrices
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915945911418880 |
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| author | Denisov, Sergey A. Young, Giorgio |
| author_facet | Denisov, Sergey A. Young, Giorgio |
| contents | We study the wave operators for a Jacobi matrix whose spectral measure satisfies the Szegö condition. We prove existence and completeness of wave operators under a mild additional assumption on the Verblunsky coefficients of the associated measure on the unit circle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18442 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Wave operators for Jacobi matrices Denisov, Sergey A. Young, Giorgio Spectral Theory Mathematical Physics Classical Analysis and ODEs 47B36, 47A40, 42C05 We study the wave operators for a Jacobi matrix whose spectral measure satisfies the Szegö condition. We prove existence and completeness of wave operators under a mild additional assumption on the Verblunsky coefficients of the associated measure on the unit circle. |
| title | Wave operators for Jacobi matrices |
| topic | Spectral Theory Mathematical Physics Classical Analysis and ODEs 47B36, 47A40, 42C05 |
| url | https://arxiv.org/abs/2604.18442 |