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- W19074859 abstract "This paper offers the functional model of a class of non-selfadjoint extensions of a symmetric operator with equal deficiency indices. The explicit form of dilation of a dissipative extension is offered and the Sz.-Nagy-Foias model as developed by B. Pavlov is constructed. A variant of functional model for a non-selfadjoint non-dissipative extension is formulated. We illustrate the theory by two examples: singular perturbations of the Laplace operator in L 2(ℝ3) by a finite number of point interactions, and the Schrodinger operator on the half-axis (0, ∞) in the Weyl limit circle case at infinity." @default.
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- W19074859 date "2007-04-28" @default.
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- W19074859 title "Functional Model of a Class of Non-selfadjoint Extensions of Symmetric Operators" @default.
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- W19074859 doi "https://doi.org/10.1007/978-3-7643-8135-6_9" @default.
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