与三角矩问题有关的离散系统的代数几何解
Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem
摘要：
我们推导出一个离散系统的代数几何解的θ函数表示与Szego和Baxter研究的三角矩问题（的扩展）的传递矩阵。我们还得到了这些代数几何解所满足的一类新的耦合非线性差分方程。
英文摘要：
We derive theta function representations of algebro-geometric solutions of a discrete system governed by a transfer matrix associated with (an extension of) the trigonometric moment problem studied by Szego and Baxter. We also derive a new hierarchy of coupled nonlinear difference equations satisfied by these algebro-geometric solutions.
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