Fritz Gesztesy, Helge Holden, Johanna Michor, and Gerald Teschl
Algebro-Geometric Solutions of the Ablowitz-Ladik Hierarchy
(142K, LaTeX)

ABSTRACT.  We provide a detailed derivation of all complex-valued 
algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. In addition, we survey a recursive construction of the Ablowitz-Ladik hierarchy and its zero-curvature and Lax formalism.