The Resource Factorization and Integrable Systems : Summer School in Faro, Portugal, September 2000, edited by Israel Gohberg, Nenad Manojlovic, Antonio, F. dos Santos, (electronic resource)

Factorization and Integrable Systems : Summer School in Faro, Portugal, September 2000, edited by Israel Gohberg, Nenad Manojlovic, Antonio, F. dos Santos, (electronic resource)

Label
Factorization and Integrable Systems : Summer School in Faro, Portugal, September 2000
Title
Factorization and Integrable Systems
Title remainder
Summer School in Faro, Portugal, September 2000
Statement of responsibility
edited by Israel Gohberg, Nenad Manojlovic, Antonio, F. dos Santos
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
Dewey number
515.724
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • SAmuLHl5J6I
  • xEluHgkhh64
  • Fz7yQT6Scs4
Image bit depth
0
Language note
English
LC call number
QA329-329.9
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Gohberg, Israel.
  • Manojlovic, Nenad.
  • dos Santos, Antonio, F.
Series statement
Operator Theory: Advances and Applications,
Series volume
141
http://library.link/vocab/subjectName
  • Operator theory
  • Differential equations, partial
  • Mathematical physics
  • Operator Theory
  • Partial Differential Equations
  • Mathematical Methods in Physics
Label
Factorization and Integrable Systems : Summer School in Faro, Portugal, September 2000, edited by Israel Gohberg, Nenad Manojlovic, Antonio, F. dos Santos, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
An Overview of Matrix Factorization Theory and Operator Applications -- 0 Introduction -- 1 General theorems -- 2 Factorization in decomposing Banach algebras -- 3 Generalized Lp factorization -- 4 State space method -- References -- Matrix Riemann-Hilbert Problems Related to Branched Coverings of ??1 -- 1 Introduction -- 2 Riemann-Hilbert problem with quasi-permutation monodromies and algebraic curves -- 3 Riemann surfaces. Rauch variational formulas -- 4 Solution of Riemann-Hilbert problems with quasi-permutation monodromies and Szegö kernel -- 5 Isomonodromic tau-function and Cauchy-Riemann determinants -- Acknowledgements -- References -- Quantum Groups and Integrable Models -- 1 Introduction -- 2 Algebraic Bethe Ansatz and QISM -- 3 Yang-Baxter equation -- 4 Thermodynamic limits -- 5 Conclusion -- Acknowledgements -- References -- Integrable Systems and Factorization Problems -- 1 Introduction -- 2 A few preliminaries: Poisson brackets, coadjoint orbits, etc. -- 3 Classical r-matrices and Lax equations -- 4 Classical Yang-Baxter identity -- 5 A finite-dimensional example -- 6 Loop algebras and the Riemann problem -- 7 More examples -- 8 Zero curvature equations -- 9 Difference equations and Poisson-Lie groups -- Acknowledgements -- References -- Programme of the Summer School on Factorization and Integrable Systems
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (VII, 220 p.)
File format
multiple file formats
Form of item
online
Isbn
9783034880039
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-8003-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000101404
  • (SSID)ssj0001296655
  • (PQKBManifestationID)11802613
  • (PQKBTitleCode)TC0001296655
  • (PQKBWorkID)11353230
  • (PQKB)10936251
  • (DE-He213)978-3-0348-8003-9
  • (MiAaPQ)EBC3086431
  • (EXLCZ)993400000000101404
Label
Factorization and Integrable Systems : Summer School in Faro, Portugal, September 2000, edited by Israel Gohberg, Nenad Manojlovic, Antonio, F. dos Santos, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
An Overview of Matrix Factorization Theory and Operator Applications -- 0 Introduction -- 1 General theorems -- 2 Factorization in decomposing Banach algebras -- 3 Generalized Lp factorization -- 4 State space method -- References -- Matrix Riemann-Hilbert Problems Related to Branched Coverings of ??1 -- 1 Introduction -- 2 Riemann-Hilbert problem with quasi-permutation monodromies and algebraic curves -- 3 Riemann surfaces. Rauch variational formulas -- 4 Solution of Riemann-Hilbert problems with quasi-permutation monodromies and Szegö kernel -- 5 Isomonodromic tau-function and Cauchy-Riemann determinants -- Acknowledgements -- References -- Quantum Groups and Integrable Models -- 1 Introduction -- 2 Algebraic Bethe Ansatz and QISM -- 3 Yang-Baxter equation -- 4 Thermodynamic limits -- 5 Conclusion -- Acknowledgements -- References -- Integrable Systems and Factorization Problems -- 1 Introduction -- 2 A few preliminaries: Poisson brackets, coadjoint orbits, etc. -- 3 Classical r-matrices and Lax equations -- 4 Classical Yang-Baxter identity -- 5 A finite-dimensional example -- 6 Loop algebras and the Riemann problem -- 7 More examples -- 8 Zero curvature equations -- 9 Difference equations and Poisson-Lie groups -- Acknowledgements -- References -- Programme of the Summer School on Factorization and Integrable Systems
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (VII, 220 p.)
File format
multiple file formats
Form of item
online
Isbn
9783034880039
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-8003-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000101404
  • (SSID)ssj0001296655
  • (PQKBManifestationID)11802613
  • (PQKBTitleCode)TC0001296655
  • (PQKBWorkID)11353230
  • (PQKB)10936251
  • (DE-He213)978-3-0348-8003-9
  • (MiAaPQ)EBC3086431
  • (EXLCZ)993400000000101404

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