Geodesic
An analytic framework for the two-dimensional infinite Toda hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 177-192

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Starting with the group of operators on a separable Hilbert space that differ from the identity by a trace-class operator, we construct a solution of the two-dimensional infinite Toda hierarchy associated with a maximal commutative subalgebra in complex $k{\times}k$ matrices.
Keywords: two-dimensional infinite Toda hierarchy, linearization, commuting flows, Banach Lie group, big cell.
Mots-clés : Lax equation 
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G. F. Helminck; S. V. Polenkova. An analytic framework for the two-dimensional infinite Toda hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 177-192. http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a14/