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Birkhäuser

Spectral Methods for Operators of Mathematical Physics

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. Jan Janas

    1. Institute of Mathematics PAN, Cracow, Poland

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  2. Pavel Kurasov

    1. Department of Mathematics, Lund Institute of Technology, Lund, Sweden

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  3. Sergei Naboko

    1. Department of Mathematics Physics Institute of Physics, St. Petersburg University, St. Petersburg, Russia

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  • Emphasis on the discrete version of the WKB method and applications of functional models for non-selfadjoint operators
  • Several developments treated appear for the first time in a book

Part of the book series: Operator Theory: Advances and Applications (OT, volume 154)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-viii
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  2. Partial Non-stationary Perturbation Determinants

    • Vadim Adamyan, Heinz Langer
    Pages 1-18

  3. Noncommuting Domination

    • Dariusz Cichoń, Jan Stochel, Franciszek Hugon Szafraniec
    Pages 19-33

  4. The Problem of the Finiteness of the Point Spectrum for Self-adjoint Operators. Perturbations of Wiener-Hopf Operators and Applications to Jacobi Matrices

    • Petru Cojuhari
    Pages 35-50

  5. Singular Perturbations as Range Perturbations in a Pontryagin Space

    • Vladimir Derkach, Seppo Hassi, Henk de Snoo
    Pages 51-68

  6. Minimal Realizations of Scalar Generalized Nevanlinna Functions Related to Their Basic Factorization

    • Aad Dijksma, Heinz Langer, Annemarie Luger, Yuri Shondin
    Pages 69-90

  7. Eigenvalues and Spectral Gaps Related to Periodic Perturbations of Jacobi Matrices

    • Joanne Dombrowski
    Pages 91-100

  8. WKB and Turning Point Theory for Second-order Difference Equations

    • Jeffrey S. Geronimo, Oscar Bruno, Walter Van Assche
    Pages 101-138

  9. Bounds for the Points of Spectral Concentration of One-dimensional Schrödinger Operators

    • Daphne J. Gilbert, Bernard J. Harris, Suzanne M. Riehl
    Pages 139-149

  10. Reconstructing Jacobi Matrices from Three Spectra

    • Johanna Michor, Gerald Teschl
    Pages 151-154

  11. On Some Asymptotic Properties of Solutions for a Particular Class of Finite Difference Equations

    • Andrey S. Osipov
    Pages 155-162

  12. A Remark on Spectral Meaning of the Symmetric Functional Model

    • Boris Pavlov
    Pages 163-177

  13. A Remark on Equivalence of Weak and Strong Definitions of the Absolutely Continuous Subspace for Nonself-adjoint Operators

    • Roman Romanov
    Pages 179-184

  14. On a Transformation of the Sturm-Liouville Equation with Slowly Decaying Potentials and the Titchmarsh-Weyl m-function

    • Alexei Rybkin
    Pages 185-201

  15. Uniform Levinson Type Theorems for Discrete Linear Systems

    • Luis O. Silva
    Pages 203-218

  16. Free Functional Model Related to Simply-connected Domains

    • Alexey Tikhonov
    Pages 219-231

  17. Jacobi Block Matrices with Constant Matrix Terms

    • Marcin J. Zygmunt
    Pages 233-238

  18. Back Matter

    Pages 239-244
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Keywords

Editors and Affiliations

  • Institute of Mathematics PAN, Cracow, Poland

    Jan Janas

  • Department of Mathematics, Lund Institute of Technology, Lund, Sweden

    Pavel Kurasov

  • Department of Mathematics Physics Institute of Physics, St. Petersburg University, St. Petersburg, Russia

    Sergei Naboko

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