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Boundary Value Problems, Weyl Functions, and Differential Operators

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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 c...

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Bibliographic Details
Main Authors: Behrndt, Jussi (Author), Hassi, Seppo (Author), de Snoo, Henk (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020.
Edition:1st ed. 2020.
Series:Monographs in Mathematics, 108
Subjects:
Operator theory.
Differential equations.
System theory.
Control theory.
Operator Theory.
Differential Equations.
Systems Theory, Control.
Online Access:Link to Metadata
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Table of Contents:
  • 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.

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