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Factorization and Integrable Systems

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 030/5 ( reviews)

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Book Synopsis Factorization and Integrable Systems by : Israel Gohberg

Download or read book Factorization and Integrable Systems written by Israel Gohberg. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the specially prepared lecture notes of a a Summer School on "Factorization and Integrable Systems" held in September 2000 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.

Factorization and Integrable Systems

2003-01-01 Mathematics
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Release : 2003-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 386/5 ( reviews)

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Book Synopsis Factorization and Integrable Systems by : Israel Gohberg

Download or read book Factorization and Integrable Systems written by Israel Gohberg. This book was released on 2003-01-01. Available in PDF, EPUB and Kindle. Book excerpt:

Integrable Systems and Riemann Surfaces of Infinite Genus

1996 Mathematics
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Release : 1996
Genre : Mathematics
Kind : eBook
Book Rating : 60X/5 ( reviews)

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Book Synopsis Integrable Systems and Riemann Surfaces of Infinite Genus by : Martin Ulrich Schmidt

Download or read book Integrable Systems and Riemann Surfaces of Infinite Genus written by Martin Ulrich Schmidt. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. The resulting spaces are no longer Riemann surfaces in the usual sense, but they are quite similar to compact Riemann surfaces.

Singular Integral Operators, Factorization and Applications

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 073/5 ( reviews)

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Book Synopsis Singular Integral Operators, Factorization and Applications by : Albrecht Böttcher

Download or read book Singular Integral Operators, Factorization and Applications written by Albrecht Böttcher. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Factorization and Integrable Systems; !> Operator Theoretical Methods in Diffraction Theory; !> Algebraic Techniques in Operator Theory; !> Applications to Mathematical Physics and Related Topics. A total of 94 colleagues from 21 countries participated in the conference. The major part of participants came from Portugal (32), Germany (17), Israel (6), Mexico (6), the Netherlands (5), USA (4) and Austria (4). The others were from Ukraine, Venezuela (3 each), Spain, Sweden (2 each), Algeria, Australia, Belorussia, France, Georgia, Italy, Japan, Kuwait, Russia and Turkey (one of each country). It was the 12th meeting in the framework of the IWOTA conferences which started in 1981 on an initiative of Professors 1. Gohberg (Tel Aviv) and J. W. Helton (San Diego). Up to now, it was the largest conference in the field of Operator Theory in Portugal.

From Quantum Cohomology to Integrable Systems

2008-03-13 Mathematics
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Release : 2008-03-13
Genre : Mathematics
Kind : eBook
Book Rating : 960/5 ( reviews)

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Book Synopsis From Quantum Cohomology to Integrable Systems by : Martin A. Guest

Download or read book From Quantum Cohomology to Integrable Systems written by Martin A. Guest. This book was released on 2008-03-13. Available in PDF, EPUB and Kindle. Book excerpt: Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This text explains what is behind the extraordinary success of quantum cohomology, leading to its connections with many existing areas of mathematics as well as its appearance in new areas such as mirror symmetry. Certain kinds of differential equations (or D-modules) provide the key links between quantum cohomology and traditional mathematics; these links are the main focus of the book, and quantum cohomology and other integrable PDEs such as the KdV equation and the harmonic map equation are discussed within this unified framework. Aimed at graduate students in mathematics who want to learn about quantum cohomology in a broad context, and theoretical physicists who are interested in the mathematical setting, the text assumes basic familiarity with differential equations and cohomology.

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