Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schroedinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. 'Spectral Theory of Canonical Systems' offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations in suitable Hilbert spaces, a modern treatment of de Branges spaces, and direct and inverse spectral problems are discussed.
Contents
Basic definitions
Symmetric and self-adjoint relations
Spectral representation
Transfer matrices and de Branges spaces
Inverse spectral theory
Some applications
The absolutely continuous spectrum
- ISBN10 3110563231
- ISBN13 9783110563238
- Publish Date 21 August 2018
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format eBook
- Pages 206
- Language English
- URL https://degruyter.com/isbn/9783110563238