- 04-242 Jeffrey S.\ Geronimo, Fritz Gesztesy, and Helge Holden
- Algebro-Geometric Solutions of a Discrete System Related to the
Trigonometric Moment Problem
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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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