Spectral Theory of Canonical Systems
Spectral Theory of Canonical Systems
by Christian Remling
English | 2018 | ISBN: 3110562022 | 207 Pages | PDF/ePUB | 13.6 MB
by Christian Remling
English | 2018 | ISBN: 3110562022 | 207 Pages | PDF/ePUB | 13.6 MB
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 Schrodinger, 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