Titlebook: Operator Theory, System Theory and Related Topics; The Moshe Livšic Ann Daniel Alpay,Victor Vinnikov Conference proceedings 2001 Springer B

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On Dual Canonical Systems and Dual Matrix String Equations,spectively, under appropriate smoothness conditions is introduced. This serves to generalize the notion of dual string equations which was introduced by Kac and Krein for scalar strings some thirty years ago. A complete description of the set of spectral functions τ(.) on [0, ∞) for the original mas

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Some Applications of Operator-valued Herglotz Functions,ons of densely defined closed symmetric operators. Our applications include model operators for both situations, linear fractional transformations for Herglotz operators, results on Friedrichs and Krein extensions, and realization theorems for classes of Herglotz operators. Moreover, we study the co

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Right and Left Joint System Representation of a Rational Matrix Function in General Position,ered. For these matrix functions of two variables, the representations which are analogous to the system representation (or realization) of a rational matrix function of one variable are constructed. This representation of the function .(.).. (.) (of the function ..(.) .(.)) is said to be the joint

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One-parameter Semigroups of Fractional-linear Transformations, of fractional-linear automorphisms of the unit disk in the complex plane. His study has been continued by many mathematicians (see, for example, [.], [.], [.], [.]). In particular, E. Berkson and H. Porta [.] developed a generation theory for one-parameter semigroups of holomorphic self-mappings of

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Scattering from an Impurity: Lax-Phillips Approach,leads to a difference wave equation, or linear version of the Hirota equation. Lax-Phillips scattering theory is developed for this evolution equation using a dynamical approach. It is shown that the Lax-Phillips scattering matrix for this special choice of the evolution equation coincides with the

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