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Birkhäuser

Methods of Spectral Analysis in Mathematical Physics

Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, Sweden

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. Jan Janas

    1. Institut of Mathematics, Polish Academy of Sciences, Krakow, 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 Mathematical Physics, St. Petersburg State University, St. Petersburg, Russia

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  4. Ari Laptev

    1. Department of Mathematics South Kensington Campus, Imperial College London, London, UK
      Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden

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  5. Günter Stolz

    1. Department of Mathematics, University of Alabama, Birmingham, USA

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  • Well-established conference held every other year in Sweden and Poland attracting growing attention
  • Contributions from leading experts in the areas of operator theory, mathematical physics and analysis
  • Contributions by young researchers at the beginning of their career
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 186)

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Table of contents (21 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Spectral Asymptotics of Percolation Hamiltonians on Amenable Cayley Graphs

    • Tonći Autunović, Ivan Veselić
    Pages 1-29

  3. On Inverse Problems for Finite Trees

    • B. M. Brown, R. Weikard
    Pages 31-48

  4. Wave Operators for Nonlocal Sturm-Liouville Operators with Trivial Potential

    • E. GV. Cheremnikh
    Pages 49-68

  5. Semiclassical Results for Ideal Fermion Systems. A Review

    • Monique Combescure
    Pages 69-87

  6. Quadratic Hamiltonians and Their Renormalization

    • Jan Dereziński
    Pages 89-102

  7. Jacobi Matrices: Eigenvalues and Spectral Gaps

    • J. Dombrowski
    Pages 103-113

  8. Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain

    • Rupert L. Frank, Anders M. Hansson
    Pages 115-137

  9. The Ablowitz-Ladik Hierarchy Revisited

    • Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl
    Pages 139-190

  10. On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants

    • Fritz Gesztesy, Marius Mitrea, Maxim Zinchenko
    Pages 191-215

  11. Higher Derivatives of Spectral Functions Associated with One-Dimensional Schrödinger Operators

    • D. J. Gilbert, B. J. Harris, S. M. Riehl
    Pages 217-228

  12. On the Boundary Value Problem for p-parabolic Equations

    • Per-Anders Ivert
    Pages 229-239

  13. On the Rank One Dissipative Operator and the Parseval Formula

    • Mitsuteru Kadowaki, Hideo Nakazawa, Kazuo Watanabe
    Pages 241-256

  14. On the Schrödinger Operator with Limit-periodic Potential in Dimension Two

    • Yulia Karpeshina, Young-Ran Lee
    Pages 257-265

  15. Similarity Problem for Non-self-adjoint Extensions of Symmetric Operators

    • Alexander V. Kiselev
    Pages 267-283

  16. Inverse Scattering Problem for a Special Class of Canonical Systems and Non-linear Fourier Integral. Part I: Asymptotics of Eigenfunctions

    • S. Kupin, F. Peherstorfer, A. Volberg, P. Yuditskii
    Pages 285-323

  17. Remark on the Compensation of Singularities in Krein’s Formula

    • A. B. Mikhailova, B. S. Pavlov
    Pages 325-337

  18. On Some Properties of Infinite-dimensional Elliptic Coordinates

    • Andrey Osipov
    Pages 339-346

  19. Finite Difference Operators with a Finite-Band Spectrum

    • F. Peherstorfer, P. Yuditskii
    Pages 347-389

  20. Connections Between Dynamical Systems and Crossed Products of Banach Algebras by ℤ

    • Christian Svensson, Sergei Silvestrov, Marcel de Jeu
    Pages 391-401
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Keywords

Editors and Affiliations

  • Institut of Mathematics, Polish Academy of Sciences, Krakow, Poland

    Jan Janas

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

    Pavel Kurasov

  • Department of Mathematical Physics, St. Petersburg State University, St. Petersburg, Russia

    Sergei Naboko

  • Department of Mathematics South Kensington Campus, Imperial College London, London, UK

    Ari Laptev

  • Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden

    Ari Laptev

  • Department of Mathematics, University of Alabama, Birmingham, USA

    Günter Stolz

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