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

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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.
22 pages

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Spectral Theory, Mathematical Physics, 35Q53; 58F07; 35Q51

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http://salesiana.dossiersoluciones.com/handle/123456789/72117

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408073
 http://arxiv.org/abs/math/0408073

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arXiv