Skip to main content
  • Conference proceedings
  • © 2003

Factorization and Integrable Systems

Summer School in Faro, Portugal, September 2000

Birkhäuser
  • Expanded lecture notes of a summer school at the University of Algarve, Portugal
  • Written by leading experts in the field
  • Extensive review of factorization theory, its application to integrable systems, and its developments over the last 25 years

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (5 papers)

  1. Front Matter

    Pages i-vii
  2. An Overview of Matrix Factorization Theory and Operator Applications

    • I. Gohberg, M. A. Kaashoek, I. M. Spitkovsky
    Pages 1-102
  3. Quantum Groups and Integrable Models

    • Petr P. Kulish
    Pages 131-154
  4. Integrable Systems and Factorization Problems

    • M. A. Semenov-Tian-Shansky
    Pages 155-218
  5. Programme of the Summer School on Factorization and Integrable Systems

    • Israel Gohberg, Nenad Manojlovic, António Ferreira dos Santos
    Pages 219-219
  6. Back Matter

    Pages 220-220

About this book

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.

Editors and Affiliations

  • School of Mathematical Sciences, Tel Aviv University, IL - Ramat Aviv, Israel

    Israel Gohberg

  • Raymond and Beverly Sackler, Tel Aviv University, IL - Ramat Aviv, Israel

    Israel Gohberg

  • Faculty of Exact Sciences, Tel Aviv University, IL - Ramat Aviv, Israel

    Israel Gohberg

  • A.D. Matematica, FCT, Universidade do Algarve Campus de Gambelas, Faro, Portugal

    Nenad Manojlovic

  • Departamento de Matemática Instituto Superior Técnico, Ave. Rovisco Pais, Lisboa, Portugal

    António Ferreira Santos

Bibliographic Information

  • Book Title: Factorization and Integrable Systems

  • Book Subtitle: Summer School in Faro, Portugal, September 2000

  • Editors: Israel Gohberg, Nenad Manojlovic, António Ferreira Santos

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8003-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2003

  • Hardcover ISBN: 978-3-7643-6938-5Published: 24 April 2003

  • Softcover ISBN: 978-3-0348-9400-5Published: 23 October 2012

  • eBook ISBN: 978-3-0348-8003-9Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VII, 220

  • Topics: Operator Theory, Partial Differential Equations, Mathematical Methods in Physics

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access