Electronic Resource

Boundary Value Problems, Weyl Functions, and Differential Operators

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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 Schro?dinger 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.

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Series Title

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Call Number

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Publisher

Cham : Springer Nature., 2020

Collation

772 hlm., lamp.,

Language

English

ISBN/ISSN

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Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Specific Detail Info

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Statement of Responsibility

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Other Information

Cataloger

ida

Source

https://directory.doabooks.org/handle/20.500.12854/25955

Validator

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Digital Object Identifier (DOI)

10.1007/978-3-030-36714-5

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