Spectral theory of canonical differential systems: method of operator identities
✍ Scribed by L.A. Sakhnovich
- Book ID
- 127418499
- Publisher
- Birkhäuser Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 2 MB
- Series
- Operator theory, advances and applications 107
- Edition
- 1
- Category
- Library
- City
- Basel; Boston
- ISBN-13
- 9780817660574
No coin nor oath required. For personal study only.
✦ Synopsis
Theorems of factorizing 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 Schrdinger equation, the modified Korteweg-de Vries equation and the sinh-Gordon equation.
Series: Operator Theory: Advances and Applications, Vol. 107
📜 SIMILAR VOLUMES
These notes will be useful and of interest to mathematicians and physicists active in research as well as for students with some knowledge of the abstract theory of operators in Hilbert spaces. They give a complete spectral theory for ordinary differential expressions of arbitrary order n operating
§18 Operators with Almost Periodic Coefficients . . . . . . . . . . . . . . . . . . . 186 18. 1. General Definitions. Essential Self-Adjointness . . . . . . . . . . . . 186 18. 2. General Properties of the Spectrum and Eigenfunctions . . . . 188 18. 3. The Spectrum of the One-Dimensional Schrödinger