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arXiv · 2604.18442

Wave operators for Jacobi matrices

Sergey A. Denisov·Giorgio Young
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Abstract

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.

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Sergey A. Denisov, Giorgio Young. 2026-04-20. Wave operators for Jacobi matrices. https://arxiv.org/abs/2604.18442

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