Boundary Value Problems, Weyl Functions, and Differential Operators

Henk de Snoo, Seppo Hassi, Jussi Behrndt

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English

Saint Philip Street Press
08 October 2020

Complex analysis, complex variables

Summary
Details

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. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

By: Henk de Snoo, Seppo Hassi, Jussi Behrndt
Imprint: Saint Philip Street Press
Dimensions: Height: 279mm, Width: 216mm, Spine: 41mm
Weight: 2.059kg
ISBN: 9781013273339
ISBN 10: 1013273338
Pages: 776
Publication Date: 08 October 2020
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active