| dc.creator |
Allahverdiev, Bilender P. |
|
| dc.date |
2017-01-01T00:00:00Z |
|
| dc.date.accessioned |
2021-12-03T11:31:47Z |
|
| dc.date.available |
2021-12-03T11:31:47Z |
|
| dc.identifier |
89997bd0-5a7c-4a2b-a347-2ab462ce44ab |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/89997bd0-5a7c-4a2b-a347-2ab462ce44ab/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/93176 |
|
| dc.description |
A space of boundary values is constructed for minimal symmetric Sturm-Liouville operator acting in L-e(2)(a, b) with defect index (1, 1) (in limit-circle case at a (b) and limit-point case at b (a)). All maximal dissipative, maximal accumulative and self-adjoint extensions of such a symmetric operator are described in terms of boundary conditions at a (b). In each case, we construct a self-adjoint dilation of the dissipative operator and its incoming and outgoing spectral representations, which allows us to determine the scattering matrix. We establish a functional model of the dissipative operator and construct its characteristic function in terms of the Weyl-Titchmarsh function on the self-adjoint operator. We also prove the completeness of the root functions of the dissipative Sturm-Liouville operators. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
EXTENSIONS, DILATIONS AND SPECTRAL ANALYSIS OF SINGULAR STURM-LIOUVILLE OPERATORS |
|
| dc.type |
info:eu-repo/semantics/article |
|