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@BOOK{Behrndt:645108,
author = {Behrndt, Jussi and Hassi, Seppo and Snoo, Hendrik S. V. de},
title = {{B}oundary {V}alue {P}roblems, {W}eyl {F}unctions, and
{D}ifferential {O}perators},
address = {Cham},
publisher = {Springer Nature},
reportid = {PUBDB-2026-00603},
isbn = {9783030367145},
series = {Monographs in Mathematics},
pages = {1 Online-Ressource (IX, 772 pages)},
year = {2020},
abstract = {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},
typ = {PUB:(DE-HGF)3},
url = {https://bib-pubdb1.desy.de/record/645108},
}