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The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators (Operator Theory: Advances and Applications, 253) - Hardcover
Synopsis
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 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 starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces.
The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.
"synopsis" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2016
- ISBN 10 3319295330
- ISBN 13 9783319295336
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages257
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Method of Rigged Spaces in Singular Perturbation Theory of Self-adjoint Operators
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The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
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Springer International Publishing Jul 2016, 2016
ISBN 10: 3319295330
ISBN 13: 9783319295336
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 Diracd-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 starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems. 260 pp. Englisch. Seller Inventory # 9783319295336
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The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
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Springer International Publishing, 2016
ISBN 10: 3319295330
ISBN 13: 9783319295336
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The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
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Springer International Publishing, 2016
ISBN 10: 3319295330
ISBN 13: 9783319295336
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 Diracd-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 starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems. Seller Inventory # 9783319295336
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Method of Rigged Spaces in Singular Perturbation Theory of Self-adjoint Operators
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The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators (Operator Theory: Advances and Applications, 253)
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The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Deals with singular quadratic forms and singular perturbations of self-adjoint operators considered in rigged Hilbert spacesDemonstrates the theory of singular perturbations by three notions into a unique object with a thr. Seller Inventory # 109507284
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The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators (Operator Theory: Advances and Applications)
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