Math. Nachr. 202, 163-171 (1999) [DOI: 10.1002/mana.19992020113]
Inverse Scattering Transform for the Toda Hierarchy
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy. In addition, we revisit the connection between trace formulas and conserved quantities from the viewpoint of Krein's spectral shift theory.