Factorization and Integrable Systems
Summer School in Faro, Portugal, September 2000
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Beschreibung
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.
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
Autor*in
Israel Gohberg
Themen in »Factorization and Integrable Systems«
Permutation Riemann surface Volume difference equation function identity kernel lie group matrices operator operator theory review scattering solution university