Boundary Value Problems, Weyl Functions, and Differential Operators

Dublin Core

Title

Boundary Value Problems, Weyl Functions, and Differential Operators

Subject

Differential Operators

Description

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.

Creator

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

Source

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

Publisher

Springer Nature

Date

2020

Contributor

Baihaqi

Rights

Creative Commons

Format

PDF

Language

English

Type

Textbooks

Files

1007056.pdf.jpg

Collection

Citation

Behrndt, Jussi , Hassi, Seppo, de Snoo, Henk, “Boundary Value Problems, Weyl Functions, and Differential Operators ,” Open Educational Resource (OER) - Unsyiah Library, accessed October 2, 2022, http://uilis.unsyiah.ac.id/oer/items/show/7437.

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