Spectral Theory of Canonical Systems
Christian Remling
Aug 2018 · De Gruyter Studies in Mathematics Book 70 · Walter de Gruyter GmbH & Co KG
Ebook
206
Pages
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About this ebook
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 Schrödinger, 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
About the author
Christian Remling, University of Oklahoma, USA.
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