Overview
- 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)
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Table of contents (5 papers)
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Front Matter
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Back Matter
Keywords
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
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
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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