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On dilation, scattering and spectral theory for two-interval singular differential operators

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dc.creator Allahverdiev, Bilender
dc.creator Ugurlu, Ekin
dc.date 2014-12-31T22:00:00Z
dc.date.accessioned 2020-10-06T10:51:30Z
dc.date.available 2020-10-06T10:51:30Z
dc.identifier a69f3696-4250-4220-8c11-035bc82deb5c
dc.identifier https://avesis.sdu.edu.tr/publication/details/a69f3696-4250-4220-8c11-035bc82deb5c/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/68482
dc.description This paper aims to construct a space of boundary values for minimal symmetric singular impulsive-like Sturm-Liouville (SL) operator in limit-circle case at singular end points a, b and regular inner point c. For this purpose all maximal dissipative, accumulative and self-adjoint extensions of the symmetric operator are described in terms of boundary conditions. We construct a self-adjoint dilation of maximal dissipative operator, a functional model and we determine its characteristic function in terms of the scattering matrix of the dilation. The theorem verifying the completeness of the eigenfunctions and the associated functions of the dissipative SL operator is proved.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title On dilation, scattering and spectral theory for two-interval singular differential operators
dc.type info:eu-repo/semantics/article


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