Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem
Spectral Theory
2007-05-23 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0408073,
title = {Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem},
author = {Jeffrey S. Geronimo and Fritz Gesztesy and Helge Holden},
journal= {arXiv preprint arXiv:math/0408073},
year = {2007}
}
Comments
22 pages