Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies
Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies
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DOI：
10.1090/memo/0641
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发表时间：
1997-05
影响因子：
1.9
通讯作者：
W. Bulla;F. Gesztesy;H. Holden;G. Teschl
中科院分区：
文献类型：
--
作者：
W. Bulla;F. Gesztesy;H. Holden;G. Teschl
简介 Toda 层次结构、递归关系和超椭圆曲线 平稳 Baker-Akhiezer 函数 有限间隙雅可比算子的谱理论 平稳 Toda 层次结构的准周期有限间隙解 Toda 层次结构的准周期有限间隙解和瞬态 Baker-Akhiezer 函数 Kac-van Moerbeke 层次结构及其与 Toda 层次结构的关系 有限间隙狄拉克型差分算子的谱理论Kac-van Moerbeke 层次结构的准周期有限间隙解 Toda 型和 theta 函数的超椭圆曲线 周期 Jacobi 算子 示例，$g-0,1$ 致谢 参考书目。
Introduction The Toda hierarchy, recursion relations, and hyperelliptic curves The stationary Baker-Akhiezer function Spectral theory for finite-gap Jacobi operators Quasi-periodic finite-gap solutions of the stationary Toda hierarchy Quasi-periodic finite-gap solutions of the Toda hierarchy and the time-dependent Baker-Akhiezer function The Kac-van Moerbeke hierarchy and its relation to the Toda hierarchy Spectral theory for finite-gap Dirac-type difference operators Quasi-periodic finite-gap solutions of the Kac-van Moerbeke hierarchy Hyperelliptic curves of the Toda-type and theta functions Periodic Jacobi operators Examples, $g-0,1$ Acknowledgments Bibliography.