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

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

2004-08-04

arxiv.org/abs/math/0408073v1

Mathematics

Spectral Theory

22 pages

Scientific paper

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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