Math. Nachr. 202, 163-171 (1999) [DOI: 10.1002/mana.19992020113]

Inverse Scattering Transform for the Toda Hierarchy

Gerald Teschl

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.

MSC91: Primary 58F07, 34L25; Secondary 39A10, 47B39
Keywords: Inverse scattering, Toda hierarchy

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