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＜電子ブック＞
Boundary Value Problems, Weyl Functions, and Differential Operators / by Jussi Behrndt, Seppo Hassi, Henk de Snoo
(Monographs in Mathematics. ISSN:22964886 ; 108)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2020
本文言語	英語
大きさ	IX, 772 p. 1 illus : online resource
著者標目	*Behrndt, Jussi author Hassi, Seppo author de Snoo, Henk author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Differential equations LCSH:System theory LCSH:Control theory FREE:Operator Theory FREE:Differential Equations FREE:Systems Theory, Control
一般注記	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 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 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 HTTP:URL=https://doi.org/10.1007/978-3-030-36714-5

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