04-242 Jeffrey S.\ Geronimo, Fritz Gesztesy, and Helge Holden
Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem (88K, LaTeX) Aug 4, 04
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Abstract. 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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