Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1761

 Title: Triangular Models and Asymptotics of Continuous Curves with Bounded and Unbounded Semigroup Generators Authors: Kirchev, KirilBorisova, Galina Keywords: Unbounded OperatorOperator ColligationCharacteristic FunctionNondissipative CurveCorrelation FunctionWave OperatorScattering Operator Issue Date: 2005 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 31, No 1-2, (2005), 95p-174p Abstract: In this paper classes of K^r -operators are considered – the classes of bounded and unbounded operators A with equal domains of A and A*, finite dimensional imaginary parts and presented as a coupling of a dissipative operator and an antidissipative one with real absolutely continuous spectra and the class of unbounded dissipative K^r -operators A with different domains of A and A* and with real absolutely continuous spectra. Their triangular models are presented. The asymptotics of the corresponding continuous curves with generators from these classes are obtained in an explicit form. With the help of the obtained asymptotics the scattering theory for the couples (A*, A) when A belongs to the introduced classes is constructed. Description: 2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12. URI: http://hdl.handle.net/10525/1761 ISSN: 1310-6600 Appears in Collections: Volume 31 Number 1-2

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