The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators

This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kin...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Koshmanenko, Volodymyr (Autor), Dudkin, Mykola (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Operator Theory: Advances and Applications, 253
Temas:
Operator theory.
Measure theory.
Mathematical physics.
Operator Theory.
Measure and Integration.
Mathematical Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Introduction
  • 1.Preliminaries
  • 2.Symmetric Operators and Closable Quadratic Forms
  • 3.Self-adjoint Extensions of Symmetric Operators
  • 4.Rigged Hilbert Spaces
  • 5.Singular Quadratic Forms
  • 6.Dense Subspaces in Scales of Hilbert Spaces
  • 7.Singular Perturbations of Self-adjoint Operators
  • 8.Super-singular Perturbations
  • 9.Some Aspects of the Spectral Theory
  • References
  • Subject Index
  • Notation Index.

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