Algebro-geometric solutions of the Baxter-Szego difference equation

被引：46

作者：

Geronimo, JS ^{[1
]}

Gesztesy, F

Holden, H

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[3] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 258卷 / 01期

关键词：

D O I：

10.1007/s00220-005-1305-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：149 / 177

页数：29

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