Finite Gap Jacobi Matrices: A Review

Finite Gap Jacobi Matrices: A Review
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DOI：
10.1090/pspum/087/01429
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发表时间：
2013-01
期刊：
arXiv: Spectral Theory
影响因子：
--
通讯作者：
Jacob S. Christiansen;B. Simon;M. Zinchenko
Jacob S. Christiansen;B. Simon;M. Zinchenko
中科院分区：
其他
文献类型：
--
作者：
Jacob S. Christiansen;B. Simon;M. Zinchenko

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也许最常见的主题在弗里茨Gesztesy的广泛作品是研究问题的周期或几乎周期的有限差距微分和差分方程，特别是那些连接到可积系统。本文综述了有限间隙Jacobi矩阵及其扰动的研究进展。我们要感谢弗里茨作为合作者和朋友。我们希望弗里茨喜欢这个生日花束！
Perhaps the most common theme in Fritz Gesztesy's broad opus is the study of problems with periodic or almost periodic finite gap differential and difference equations, especially those connected to integrable systems. The present paper reviews recent progress in the understanding of finite gap Jacobi matrices and their perturbations. We'd like to acknowledge our debt to Fritz as a collaborator and friend. We hope Fritz enjoys this birthday bouquet!