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Riemann-Hilbert Problems with canonical normalization and families of commuting operators
Riemann-Hilbert Problems commuting operators integrable 3-wave interactions
2012/4/26
We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on several additional variables. Using Zakharov-Shabat theorem we are able to construct a fam...
We introduce the notion of joint torsion for several commuting operators satisfying a Fredholm condition. This new secondary invariant takes values in the group of invertibles of a field. It is const...