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© 2003

Factorization and Integrable Systems

Summer School in Faro, Portugal, September 2000

  • Israel Gohberg
  • Nenad Manojlovic
  • António Ferreira dos Santos
Conference proceedings

Part of the Operator Theory: Advances and Applications book series (OT, volume 141)

Table of contents

  1. Front Matter
    Pages i-vii
  2. I. Gohberg, M. A. Kaashoek, I. M. Spitkovsky
    Pages 1-102
  3. Petr P. Kulish
    Pages 131-154
  4. M. A. Semenov-Tian-Shansky
    Pages 155-218
  5. Israel Gohberg, Nenad Manojlovic, António Ferreira dos Santos
    Pages 219-219
  6. Back Matter
    Pages 220-220

About these proceedings

Introduction

In September 2000 a Summer School on "Factorization and Integrable Systems" was held at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems. The program consisted of a number of short courses given by leading experts in the field. The lecture notes of the courses have been specially prepared for publication in this volume.
The book consists of four contributions. I. Gohberg, M.A. Kaashoek and I.M. Spitkovsky present an extensive review of the factorization theory of matrix functions relative to a curve, with emphasis on the developments of the last 20-25 years. The group-theoretical approach to classical integrable systems is reviewed by M.A. Semenov-Tian-Shansky. P.P. Kulish surveyed the quantum inverse scattering method using the isotropic Heisenberg spin chain as the main example.

Keywords

Permutation Riemann surface Volume difference equation function identity kernel lie group matrices operator operator theory review scattering solution university

Editors and affiliations

  • Israel Gohberg
    • 1
    • 2
    • 3
  • Nenad Manojlovic
    • 4
  • António Ferreira dos Santos
    • 5
  1. 1.School of Mathematical SciencesTel Aviv UniversityIL - Ramat AvivIsrael
  2. 2.Raymond and Beverly SacklerTel Aviv UniversityIL - Ramat AvivIsrael
  3. 3.Faculty of Exact SciencesTel Aviv UniversityIL - Ramat AvivIsrael
  4. 4.A.D. Matematica, FCTUniversidade do Algarve Campus de GambelasFaroPortugal
  5. 5.Departamento de Matemática Instituto Superior TécnicoAve. Rovisco PaisLisboaPortugal

Bibliographic information

  • Book Title Factorization and Integrable Systems
  • Book Subtitle Summer School in Faro, Portugal, September 2000
  • Editors Israel Gohberg
    Nenad Manojlovic
    Antonio, F. dos Santos
  • Series Title Operator Theory: Advances and Applications
  • DOI https://doi.org/10.1007/978-3-0348-8003-9
  • Copyright Information Birkhäuser Verlag Basel, Switzerland 2003
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-7643-6938-5
  • Softcover ISBN 978-3-0348-9400-5
  • eBook ISBN 978-3-0348-8003-9
  • Edition Number 1
  • Number of Pages VII, 220
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Operator Theory
    Partial Differential Equations
    Mathematical Methods in Physics
  • Buy this book on publisher's site