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Cover: 9783030367138 | Boundary Value Problems, Weyl Functions, and Differential Operators
Dekorationsartikel gehören nicht zum Leistungsumfang.
Boundary Value Problems, Weyl Functions, and Differential Operators
Buch von Jussi Behrndt (u. a.)
Sprache: Englisch

53,49 €*

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Beschreibung
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.
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.
Zusammenfassung

Self-contained and written in an accessible style

Provides an overview of the theory of boundary triplet techniques

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2020
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Monographs in Mathematics
Inhalt: ix
772 S.
1 s/w Illustr.
772 p. 1 illus.
ISBN-13: 9783030367138
ISBN-10: 3030367134
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Behrndt, Jussi
de Snoo, Henk
Hassi, Seppo
Auflage: 1st ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Monographs in Mathematics
Maße: 241 x 160 x 48 mm
Von/Mit: Jussi Behrndt (u. a.)
Erscheinungsdatum: 04.01.2020
Gewicht: 1,326 kg
Artikel-ID: 117630244
Zusammenfassung

Self-contained and written in an accessible style

Provides an overview of the theory of boundary triplet techniques

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2020
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Monographs in Mathematics
Inhalt: ix
772 S.
1 s/w Illustr.
772 p. 1 illus.
ISBN-13: 9783030367138
ISBN-10: 3030367134
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Behrndt, Jussi
de Snoo, Henk
Hassi, Seppo
Auflage: 1st ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Monographs in Mathematics
Maße: 241 x 160 x 48 mm
Von/Mit: Jussi Behrndt (u. a.)
Erscheinungsdatum: 04.01.2020
Gewicht: 1,326 kg
Artikel-ID: 117630244
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