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...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2016, 2016
|
| Edition: | 1st ed. 2016 |
| Series: | Operator Theory: Advances and Applications
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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