Titlebook: Topics in Operator Theory; Volume 2: Systems an Joseph A. Ball,Vladimir Bolotnikov,J. William Helt Conference proceedings 2010 Birkh?user B

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An Extension Theorem for Bounded Forms Defined in Relaxed Discrete Algebraic Scattering Systems and the Relaxed Commutant Lifting Theorem,ystems as well as the Relaxed Commutant Lifting Theorem. Furthermore, the interpolants . in the relaxed lifting problem are obtained in correspondence with the extension forms . in a related extension problem so that . and . determine each other uniquely.

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,Exact Solutions to the Nonlinear Schr?dinger Equation,nonlinearity. With motivation by the inverse scattering transform and help from the state-space method, an explicit formula is obtained to express such exact solutions in a compact form in terms of a matrix triplet and by using matrix exponentials. Such solutions consist of multisolitons with any mu

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