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

• Main Authors: Koshmanenko, Volodymyr (Author), Dudkin, Mykola (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Operator Theory: Advances and Applications, 253
• Subjects: 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...