Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations Book Reviews
Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations by Damir Z. Arov & Harry Dym Book Summary
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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Book Name | Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations |
Genre | Mathematics |
Author | Damir Z. Arov & Harry Dym |
Published | 13 September 2012, Thursday |
Language | English |
E-Book Size | 140.68 MB |
Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations (Damir Z. Arov & Harry Dym) Book Reviews 2024
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Summary of Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations by Damir Z. Arov & Harry Dym
The Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations book written by Damir Z. Arov & Harry Dym was published on 13 September 2012, Thursday in the Mathematics category. A total of 94 readers of the book gave the book 0 points out of 5.
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