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

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.