TY  - BOOK
AU  - Behrndt,Jussi
AU  - Hassi,Seppo
AU  - de Snoo,Henk
ED  - SpringerLink (Online service)
TI  - Boundary Value Problems, Weyl Functions, and Differential Operators
T2  - Monographs in Mathematics,
SN  - 9783030367145
AV  - QA329-329.9 
U1  - 515.724 23
PY  - 2020///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Operator theory
KW  - Differential equations
KW  - Partial differential equations
KW  - System theory
KW  - Operator Theory
KW  - Ordinary Differential Equations
KW  - Partial Differential Equations
KW  - Systems Theory, Control
N1  - Linear relations -- Boundary triplets and Weyl functions -- Spectra and Weyl functions -- Operator models -- Nonnegative selfadjoint extensions -- Sturm-Liouville operators -- Canonical systems -- Schrodinger operators -- Sums of closed subspaces in a Hilbert space -- Factorization of bounded linear operators -- Integral representations of Carathéodory functions -- The integral representation of Nevanlinna functions; Open Access
N2  - 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
UR  - https://doi.org/10.1007/978-3-030-36714-5
ER  -