Boundary Value Problems, Weyl Functions, and Differential Operators (Hardcover, 1st ed. 2020)

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 Schroedinger 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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Monographs in Mathematics, 108
Release date:	2020
First published:	2020
Authors:	Jussi Behrndt • Seppo Hassi • Henk De Snoo
Dimensions:	235 x 155 x 22mm (L x W x T)
Format:	Hardcover
Pages:	772
Edition:	1st ed. 2020
ISBN-13:	978-3-03-036713-8
Categories:	Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-03-036713-4
Barcode:	9783030367138

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