Szego condition, scattering, and vibration of Krein strings

• 成果类型: Article
• 署名作者: Bessonov, R.; Denisov, S.
• 署名单位: Saint Petersburg State University; Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences; University of Wisconsin System; University of Wisconsin Madison
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-023-01201-9
• 发表日期: 2023
• 页码: 291-373
• 关键词: wave-operators; SCHRODINGER-OPERATORS; Orthogonal polynomials; Absolute continuity; dirac operators; EXISTENCE; equation; asymptotics; spectrum; matrices

摘要

We give a dynamical characterization of measures on the real line with finite logarithmic integral. The general case is considered in the setting of evolution groups generated by de Branges canonical systems. Obtained results are applied to the Dirac operators and Krein strings.