TY  - GEN
AU  - Behrndt,Jussi
AU  - Hassi,Seppo
AU  - de Snoo,Henk
TI  - Boundary Value Problems, Weyl Functions, and Differential Operators
SN  - 978-3-030-36714-5
PY  - 2020///
CY  - Cham
PB  - Springer Nature
KW  - Cybernetics & systems theory
KW  - bicssc
KW  - Functional analysis & transforms
KW  - Differential calculus & equations
KW  - Mathematics
KW  - Operator theory
KW  - Differential equations
KW  - Partial differential equations
KW  - System theory
N1  - 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://library.oapen.org/bitstream/20.500.12657/23102/1/1007056.pdf
UR  - https://directory.doabooks.org/handle/20.500.12854/25955
ER  -