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arxiv: math/0408073 · v1 · submitted 2004-08-04 · 🧮 math.SP · math-ph· math.MP

Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem

classification 🧮 math.SP math-phmath.MP
keywords algebro-geometricsolutionsderivediscretemomentproblemsystemtrigonometric
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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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