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  • © 1991

Sturm—Liouville and Dirac Operators

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

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  • ISBN: 978-94-011-3748-5
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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xi
  2. Sturm-Liouville operators

    1. Front Matter

      Pages 1-1
    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. Inverse Problems

      • B. M. Levitan, I. S. Sargsjan
      Pages 139-182
  3. One-dimensional Dirac operators

    1. Front Matter

      Pages 183-183
    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

Keywords

  • Boundary value problem
  • Cauchy problem
  • Potential
  • contour integration
  • differential equation
  • distribution
  • eigenvalue
  • integration
  • spectral theory

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

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • ISBN: 978-94-011-3748-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 99.99
Price excludes VAT (USA)
Hardcover Book USD 119.99
Price excludes VAT (USA)