Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12323/6818
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dc.contributor.authorAllahverdiev, Bilender P.-
dc.date.accessioned2023-09-14T06:46:08Z-
dc.date.available2023-09-14T06:46:08Z-
dc.date.issued2022-06-16-
dc.identifier.citationFilomaten_US
dc.identifier.issn0354-5180 (Print)-
dc.identifier.issn2406-0933 (Online)-
dc.identifier.urihttp://hdl.handle.net/20.500.12323/6818-
dc.description.abstractIn the Hilbert space ℓ 2 Ω (Z; E) (Z := {0,±1,±2, ...}, dim E = N < ∞), the maximal dissipative singular second-order matrix difference operators that the extensions of a minimal symmetric operator with maximal deficiency indices (2N, 2N) (in limit-circle cases at ±∞) are considered. The maximal dissipative operators with general boundary conditions are investigated. For the dissipative operator, a self-adjoint dilation and is its incoming and outgoing spectral representations are constructed. These constructions make it possible to determine the scattering matrix of the dilation. Also a functional model of the dissipative operator is constructed. Then its characteristic function in terms of the scattering matrix of the dilation is set. Finally, a theorem on the completeness of the system of root vectors of the dissipative operator is proved.en_US
dc.language.isoenen_US
dc.publisherFaculty of Sciences and Mathematics, University of Nisen_US
dc.titleDilation, Model, Scattering and Spectral Problems of Second-Order Matrix Difference Operatoren_US
dc.typeArticleen_US
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