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Boundary value problems, Weyl functi...

Behrndt, Jussi.

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Boundary value problems, Weyl functions, and differential operators

Record Type:	Electronic resources : Monograph/item
Title/Author:	Boundary value problems, Weyl functions, and differential operators/ by Jussi Behrndt, Seppo Hassi, Henk de Snoo.
Author:	Behrndt, Jussi.
other author:	Hassi, Seppo.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	ix, 772 p. :ill., digital ;24 cm.
[NT 15003449]:	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 Caratheodory functions -- The integral representation of Nevanlinna functions.
Contained By:	Springer Nature eBook
Subject:	Boundary value problems. -
Online resource:	https://doi.org/10.1007/978-3-030-36714-5
ISBN:	9783030367145

Boundary value problems, Weyl functions, and differential operators
Behrndt, Jussi.

Boundary value problems, Weyl functions, and differential operators[electronic resource] /by Jussi Behrndt, Seppo Hassi, Henk de Snoo. - Cham :Springer International Publishing :2020. - ix, 772 p. :ill., digital ;24 cm. - Monographs in mathematics,v.1081017-0480 ;. - Monographs in mathematics ;v.108..

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 Caratheodory functions -- The integral representation of Nevanlinna functions.

Open access.

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 Schrodinger 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.

ISBN: 9783030367145

Standard No.: 10.1007/978-3-030-36714-5doiSubjects--Topical Terms:

527599
Boundary value problems.

LC Class. No.: QA379 / .B44 2020

Dewey Class. No.: 515.35

Boundary value problems, Weyl functions, and differential operators
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100 1 $a Behrndt, Jussi. $3 631803
245 1 0 $a Boundary value problems, Weyl functions, and differential operators $h [electronic resource] / $c by Jussi Behrndt, Seppo Hassi, Henk de Snoo.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a ix, 772 p. : $b ill., digital ; $c 24 cm.
490 1 $a Monographs in mathematics, $x 1017-0480 ; $v v.108
505 0 $a 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 Caratheodory functions -- The integral representation of Nevanlinna functions.
506 $a Open access.
520 $a 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 Schrodinger 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.
650 0 $a Boundary value problems. $3 527599
650 0 $a Boundary value problems $x Weyl theory. $3 779030
650 0 $a Differential operators. $3 555718
650 0 $a Spectral theory (Mathematics) $3 524915
650 1 4 $a Operator Theory. $3 897311
650 2 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Systems Theory, Control. $3 893834
700 1 $a Hassi, Seppo. $3 1959033
700 1 $a Snoo, Henk de. $3 3530370
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773 0 $t Springer Nature eBook
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