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

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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. Deals with singular quadratic forms and singular perturbations of self-adjoint operators considered in rigged Hilbert spaces Demonstrates the theory of singular perturbations by three notions into a unique object with a three-face image existing in the rigged Hilbert space Provides an adequate tool for exploration of the singular perturbation problem.

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