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

by Mykola Dudkin and Volodymyr Koshmanenko

Book Overview

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 kinds of singular interactions described by potentials supported on small sets (like the Dirac δ-potentials, fractals, singular measures, high...

• Format: Paperback
• Language: English
• ISBN: 3319805924
• ISBN13: 9783319805924
• Release Date: May 2018
• Publisher: Birkhauser
• Length: 237 Pages
• Weight: 0.81 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"