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Sturm—Liouville and Dirac Operators

  • Book
  • © 1991

Overview

Authors:
  1. B. M. Levitan

    1. Department of Function and Functional Analysis, Faculty of Mathematics and Mechanics, Moscow University, USSR

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    You can also search for this author in PubMed   Google Scholar

  2. I. S. Sargsjan

    1. Department of Higher Mathematics, Polygraphy Institute, Moscow, USSR

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MASS, volume 59)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xi
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  2. Sturm-Liouville operators

    1. Front Matter

      Pages 1-1
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    2. Spectral Theory in the Regular Case

      • B. M. Levitan, I. S. Sargsjan
      Pages 3-37

    3. Spectral Theory in the Singular Case

      • B. M. Levitan, I. S. Sargsjan
      Pages 38-73

    4. The Study of the Spectrum

      • B. M. Levitan, I. S. Sargsjan
      Pages 74-91

    5. The Distribution of the Eigenvalues

      • B. M. Levitan, I. S. Sargsjan
      Pages 92-117

    6. Sharpening the Asymptotic Behaviour of the Eigenvalues and the Trace Formulas

      • B. M. Levitan, I. S. Sargsjan
      Pages 118-138

    7. Inverse Problems

      • B. M. Levitan, I. S. Sargsjan
      Pages 139-182

  3. One-dimensional Dirac operators

    1. Front Matter

      Pages 183-183
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    2. Spectral Theory in the Regular Case

      • B. M. Levitan, I. S. Sargsjan
      Pages 185-212

    3. Spectral Theory in the Singular Case

      • B. M. Levitan, I. S. Sargsjan
      Pages 213-242

    4. The Study of the Spectrum

      • B. M. Levitan, I. S. Sargsjan
      Pages 243-258

    5. The Solution of the Cauchy Problem for the Nonstationary Dirac System

      • B. M. Levitan, I. S. Sargsjan
      Pages 259-293

    6. The Distribution of the Eigenvalues

      • B. M. Levitan, I. S. Sargsjan
      Pages 294-323

    7. The Inverse Problem on the Half-Line, from the Spectral Function

      • B. M. Levitan, I. S. Sargsjan
      Pages 324-339

  4. Back Matter

    Pages 341-350
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Keywords

Authors and Affiliations

  • Department of Function and Functional Analysis, Faculty of Mathematics and Mechanics, Moscow University, USSR

    B. M. Levitan

  • Department of Higher Mathematics, Polygraphy Institute, Moscow, USSR

    I. S. Sargsjan

Bibliographic Information

  • Book Title: Sturm—Liouville and Dirac Operators

  • Authors: B. M. Levitan, I. S. Sargsjan

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-011-3748-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1991

  • Hardcover ISBN: 978-0-7923-0992-5Published: 30 November 1990

  • Softcover ISBN: 978-94-010-5667-0Published: 25 September 2012

  • eBook ISBN: 978-94-011-3748-5Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XI, 350

  • Additional Information: Originally published in Russian

  • Topics: Special Functions, Operator Theory, Theoretical, Mathematical and Computational Physics

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