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Boundary Value Problems, Weyl Functions, and Differential Operators

JUSSI, Behrndt - Personal Name; SEPPO, Hassi - Personal Name; HENK, de Snoo - Personal Name;

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.


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Detail Information
Series Title
-
Call Number
-
Publisher
Cham : Springer Nature., 2020
Collation
IX, 772
Language
English
ISBN/ISSN
978-3-030-36714-5
Classification
NONE
Content Type
text
Media Type
computer
Carrier Type
online resource
Edition
-
Subject(s)
Mathematics
Differential equations
Operator Theory
partial differential equations
System theory
Specific Detail Info
-
Statement of Responsibility
Behrndt, Jussi Hassi, Seppo de Snoo, Henk
Other Information
Cataloger
agus
Source
-
Validator
Kholif Basri
Digital Object Identifier (DOI)
https://doi.org/10.1007/978-3-030-36714-5
Journal Volume
-
Journal Issue
-
Subtitle
-
Parallel Title
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No other version available

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  • Boundary Value Problems, Weyl Functions, and Differential Operators
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