Format:
1 Online-Ressource(IX, 772 p. 1 illus.)
Edition:
1st ed. 2020.
ISBN:
9783030367145
Series Statement:
Monographs in Mathematics 108
Content:
Linear relations -- Boundary triplets and Weyl functions -- Spectra and Weyl functions -- Operator models -- Nonnegative selfadjoint extensions -- Sturm-Liouville operators -- Canonical systems -- Schrodinger operators -- Sums of closed subspaces in a Hilbert space -- Factorization of bounded linear operators -- Integral representations of Carathéodory functions -- The integral representation of Nevanlinna functions.
Content:
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.
Note:
Open Access
Additional Edition:
ISBN 9783030367138
Additional Edition:
ISBN 9783030367152
Additional Edition:
ISBN 9783030367169
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030367138
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030367152
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030367169
Additional Edition:
Erscheint auch als Druck-Ausgabe Behrndt, Jussi Boundary value problems, Weyl functions, and differential operators Cham : Birkhäuser, 2020 ISBN 9783030367138
Additional Edition:
ISBN 9783030367169
Language:
English
Subjects:
Mathematics
Keywords:
Operatortheorie
;
Differentialrechnung
;
Electronic books.
DOI:
10.1007/978-3-030-36714-5
URL:
https://ezproxy.lau.edu.lb:2443/login?url=https://doi.org/10.1007/978-3-030-36714-5
URL:
ProQuest Ebook Central
URL:
https://whel-primo.hosted.exlibrisgroup.com/openurl/44WHELF_BANG/44WHELF_BANG_services_page?u.ignore_date_coverage=true&rft.mms_id=991004886785202422
URL:
https://doi.org/10.1007/978-3-030-36714-5
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