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 kinds of singular interactions described by potentials supported on small sets (like the Dirac ?-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the s…
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Produktdetails
Weitere Autoren: Dudkin, Mykola / Koshmanenko, Nataliia (Übers.)
- ISBN: 978-3-319-29535-0
- EAN: 9783319295350
- Produktnummer: 20250386
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2016
- Seitenangabe: 237 S.
- Originaltitel: The Method of Rigged Spaces in Singular Perturbation Theory of Self-adjoint Operators
- Plattform: PDF
- Masse: 3'239 KB
- Auflage: 1st ed. 2016
- Abbildungen: 1 schwarz-weiße Abbildungen, Bibliographie
- Reihenbandnummer: 253
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