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: 978-3-319-80592-4
- EAN: 9783319805924
- Produktnummer: 28390138
- Verlag: Springer International Publishing
- Sprache: Englisch
- Erscheinungsjahr: 2018
- Seitenangabe: 260 S.
- Masse: H23.5 cm x B15.5 cm x D1.4 cm 400 g
- Auflage: Softcover reprint of the original 1st ed. 2016
- Abbildungen: Paperback
- Gewicht: 400
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