Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators

详细信息    查看全文

• 作者：Fritz Gesztesy ; Maxim Zinchenko
• 关键词：Absolutely continuous spectrum ; Reflectionless Jacobi ; CMV ; and Schrö ; dinger operators
• 刊名：Journal of Differential Equations
• 出版年：2009
• 出版时间：1 January 2009
• 年：2009
• 卷：246
• 期：1
• 页码：78-107
• 全文大小：255 K

文摘

We prove that Jacobi, CMV, and Schrödinger operators, which are reflectionless on a homogeneous set (in the sense of Carleson), under the assumption of a Blaschke-type condition on their discrete spectra accumulating at , have purely absolutely continuous spectrum on .