Boundary Value Problems, Weyl Functions, and Differential Operators

Boundary Value Problems, Weyl Functions, and Differential Operators

Differential Operators

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.

Behrndt, Jussi , Hassi, Seppo, de Snoo, Henk

https://library.oapen.org/bitstream/20.500.12657/23102/1/1007056.pdf

Springer Nature

2020

Baihaqi

Creative Commons

PDF

English

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