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Author Remling, Christian, author

Title Spectral Theory of Canonical Systems / Christian Remling
Published Berlin ; Boston : De Gruyter, [2018]
©2018

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Description 1 online resource (x, 194 pages)
Series De Gruyter studies in mathematics ; volume 70
De Gruyter studies in mathematics ; 70
Contents Frontmatter -- Contents -- Preface -- 1. Basic Definitions -- 2. Symmetric and Self-Adjoint Relations -- 3. Spectral Representation -- 4. Transfer matrices and de Branges spaces -- 5. Inverse spectral theory -- 6. Some applications -- 7. The absolutely continuous spectrum -- Bibliography -- Index
Summary 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
Notes In English
Online resource; title from PDF title page (publisher's Web site, viewed 21. Aug 2018)
Subject Spectral theory (Mathematics)
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Spectral theory (Mathematics)
Form Electronic book
ISBN 9783110563238
3110563231
9783110562286
3110562286