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Inverse Scattering Transform for the Toda Hierarchy
Author(s) -
Teschl Gerald
Publication year - 1999
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19992020113
Subject(s) - mathematics , hierarchy , connection (principal bundle) , inverse scattering transform , inverse , toda lattice , trace (psycholinguistics) , inverse scattering problem , quantum inverse scattering method , pure mathematics , scattering , algebra over a field , mathematical analysis , inverse problem , integrable system , geometry , physics , quantum mechanics , linguistics , philosophy , economics , market economy
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.