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Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations (Encyclopedia of Mathematics and its Applications, Series Number 145)

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Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations (Encyclopedia of Mathematics and its Applications, Series Number 145)

4.85 96,448 ratings · 9,328 reviews
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Overview: This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory.

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ISBN
13831629
Publication date
August 29, 2012
Pages
N/A pages
Reading Options
PDF · EPUB · Mobi
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Damir Z. Arov
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Damir Z. Arov is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Damir Z. Arov can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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