Kotani-Last problem and Hardy spaces on surfaces of Widom type

• 成果类型: Article
• 署名作者: Volberg, A.; Yuditskii, P.
• 署名单位: Michigan State University; Johannes Kepler University Linz
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-013-0495-7
• 发表日期: 2014
• 页码: 683-740
• 关键词: schrodinger-operators; jacobi matrices; spectrum; domains; THEOREM

摘要

This is a small theory of non almost periodic ergodic families of Jacobi matrices with purely (however) absolutely continuous spectrum. The reason why this effect may happen is that under our axioms we found an analytic condition on the resolvent set that is responsible for (exactly equivalent to) this effect.