The rigged Hilbert spaces approach in singular perturbation theory

DOI10.1016/S0034-4877(06)80050-9zbMath1139.47012OpenAlexW1993713773MaRDI QIDQ2467651

Sergio A. Albeverio, Volodymyr Koshmanenko, R. V. Bozhok

Publication date: 28 January 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(06)80050-9

zbMATH Keywords

singular perturbationrigged Hilbert spaceself-adjoint extensiondense embeddingsingular quadratic formsingular perturbations of a higher order

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (2)

Parametrization of supersingular perturbations in the method of rigged Hilbert spaces ⋮ Abstract state-space models for a class of linear hyperbolic systems of balance laws

Cites Work

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• Rank one perturbations with infinitesimal coupling
• Square Powers of Singularly Perturbed Operators
• A Krein-like formula for singular perturbations of self-adjoint operators and applications

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