Download Bitangential Direct and Inverse Problems for Systems of by Damir Z. Arov,Harry Dym PDF

By Damir Z. Arov,Harry Dym

This mostly self-contained remedy surveys, unites and extends a few twenty years of study on direct and inverse difficulties for canonical structures of quintessential and differential equations and similar structures. 5 uncomplicated inverse difficulties are studied during which the most a part of the given facts is both a monodromy matrix; an enter scattering matrix; an enter impedance matrix; a matrix valued spectral functionality; or an asymptotic scattering matrix. The corresponding direct difficulties also are handled. The e-book contains introductions to the idea of matrix valued complete features, reproducing kernel Hilbert areas of vector valued complete features (with designated realization to 2 very important areas brought by means of L. de Branges), the idea of J-inner matrix valued services and their software to bitangential interpolation and extension difficulties, which might be used independently for classes and seminars in research or for self-study. a few examples are provided to demonstrate the theory.

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