Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications

The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-λI for an operator A,...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Möller, Manfred (Auteur), Pivovarchik, Vyacheslav (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Édition:1st ed. 2015.
Collection:Operator Theory: Advances and Applications, 246
Sujets:
Operator theory.
Differential equations.
Mathematical physics.
Operator Theory.
Differential Equations.
Mathematical Physics.
Accès en ligne:Texto Completo
Table des matières:
  • Preface
  • Part I: Operator Pencils
  • 1.Quadratic Operator Pencils
  • 2.Applications of Quadratic Operator Pencils
  • 3.Operator Pencils with Essential Spectrum
  • 4.Operator Pencils with a Gyroscopic Term
  • Part II: Hermite-Biehler Functions
  • 5.Generalized Hermite-Biehler Functions
  • 6.Applications of Shifted Hermite-Biehler Functions
  • Part III: Direct and Inverse Problems
  • 7.Eigenvalue Asymptotics
  • 8.Inverse Problems
  • Part IV: Background Material
  • 9.Spectral Dependence on a Parameter
  • 10.Sobolev Spaces and Differential Operators
  • 11.Analytic and Meromorphic Functions
  • 12.Inverse Sturm-Liouville Problems
  • Bibliography
  • Index
  • Index of Notation.

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