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

• Κύριοι συγγραφείς: Koshmanenko, Volodymyr (Συγγραφέας), Dudkin, Mykola (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Σειρά: Operator Theory: Advances and Applications, 253
• Θέματα: Mathematics.; Measure theory.; Operator theory.; Mathematical physics.; Operator Theory.; Measure and Integration.; Mathematical Applications in the Physical Sciences.

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...

Πίνακας περιεχομένων:

• 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.