Factorization and Integrable Systems
Subtitle: Summer School in Faro, Portugal, September 2000
By: edited by Israel Gohberg, Nenad Manojlovic, António Ferreira Santos
Contributors: Manojlovic, Nenad; Santos, António Ferreira
Series: Operator Theory: Advances and Applications -- 141; Operator theory, advances and applications -- 141.
Publisher: Birkhäuser Basel; Imprint; Birkhäuser
Published: 2003
Place of publication: Basel
Language: eng
Format: [electronic resource] :
Number of pages: 219
ISBN-13: 9783034880039
Subjects: Mathematics; Differential equations, partial; Mathematical physics; Operator theory
Description: 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.