Authors:
- Self-contained and written in an accessible style
- Provides an overview of the theory of boundary triplet techniques
Part of the book series: Monographs in Mathematics (MMA, volume 108)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
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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Authors and Affiliations
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Institut für Angewandte Mathematik, Technische Universität Graz, Graz, Austria
Jussi Behrndt
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Mathematics and Statistics, University of Vaasa, Vaasa, Finland
Seppo Hassi
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Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, The Netherlands
Henk de Snoo
Bibliographic Information
Book Title: Boundary Value Problems, Weyl Functions, and Differential Operators
Authors: Jussi Behrndt, Seppo Hassi, Henk de Snoo
Series Title: Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-36714-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2020
Hardcover ISBN: 978-3-030-36713-8Published: 04 January 2020
Softcover ISBN: 978-3-030-36716-9Published: 18 September 2020
eBook ISBN: 978-3-030-36714-5Published: 03 January 2020
Series ISSN: 1017-0480
Series E-ISSN: 2296-4886
Edition Number: 1
Number of Pages: IX, 772
Number of Illustrations: 1 b/w illustrations
Topics: Operator Theory, Ordinary Differential Equations, Partial Differential Equations, Systems Theory, Control