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Spectral Theory of Canonical Differential Systems : Method of Operator Identities :  Method of Operator Identities - L. A. Sakhnovich

Spectral Theory of Canonical Differential Systems : Method of Operator Identities

Method of Operator Identities

Hardcover Published: December 2009
ISBN: 9783764360573
Number Of Pages: 202

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Theorems of factorising matrix functions and the operator identity method play an essential role in this book in constructing the spectral theory (direct and inverse problems) of canonical differential systems. The general spectral theory is then applied both to classical spectral problems (Sturm-Liouville, Dirac, string equations, Krein systems) and new, important nonlinear equations such as the nonlinear Schrödinger equation, the modified Korteweg-de Vries equation and the sinh-Gordon equation.

Introduction
Factorization of Operator-valued Transfer Functions
Operator Identities and S-Nodes
Continual Factorization
Spectral Problems on the Half-line
Spectral Problems on the Line
Weyl-Titchmarsh Functions of Periodic Canonical Systems
Division of Canonical Systems into Subclasses
Uniqueness Theorems
Weyl Discs and Points
A Class of Canonical Systems
Classical Spectral Problems
Nonlinear Integrable Equations and the Method of the Inverse Spectral Problem
Comments
References
Index
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764360573
ISBN-10: 3764360577
Series: Operator Theory: Advances and Applications
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 202
Published: December 2009
Publisher: SPRINGER VERLAG GMBH
Country of Publication: CH
Dimensions (cm): 23.39 x 15.6  x 1.27
Weight (kg): 0.48