Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations
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Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations

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eBook - PDF

Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations

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Table of contents
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About This Book

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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Yes, you can access Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations by Damir Z. Arov,Harry Dym in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2012
ISBN
9781139558365
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. BITANGENTIAL DIRECT AND INVERSE PROBLEMS FOR SYSTEMS OF INTEGRAL AND DIFFERENTIAL EQUATIONS
  3. Series
  4. Title
  5. Copyright
  6. Dedication
  7. CONTENTS
  8. PREFACE
  9. 1 Introduction
  10. 2 Canonical systems and related differential equations
  11. 3 Matrix-valued functions in the Nevanlinna class
  12. 4 Interpolation problems, resolvent matrices and de Branges spaces
  13. 5 Chains that are matrizants and chains of associated pairs
  14. 6 The bitangential direct input scattering problem
  15. 7 Bitangential direct input impedance and spectral problems
  16. 8 Inverse monodromy problems
  17. 9 Bitangential Krein extension problems
  18. 10 Bitangential inverse input scattering problems
  19. 11 Bitangential inverse input impedance and spectral problems
  20. 12 Direct and inverse problems for Dirac–Krein systems
  21. REFERENCES
  22. SYMBOL INDEX
  23. INDEX