Article
in Recent Developments in Operator Theory and its Applications, I. Gohberg (ed.) et al., 125-163, Oper. Theory Adv. Appl. 87, Birkhäuser, Basel, 1996

The KdV Hierarchy and Associated Trace Formulas

Fritz Gesztesy, R. Ratnaseelan, and Gerald Teschl

Abstract
A natural algebraic approach to the KdV hierarchy and its algebro-geometric finite-gap solutions is developed. In addition, a new derivation of associated higher-order trace formulas in connection with one-dimensional \schro operators is presented.

MSC91: Primary 35Q53, 34B05; Secondary 34B27, 35Q51
Keywords: KdV hierarchy, trace formulas

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