| dc.creator |
Allahverdiev, B. P. |
|
| dc.date |
2014-12-01T01:00:00Z |
|
| dc.date.accessioned |
2021-12-03T12:04:21Z |
|
| dc.date.available |
2021-12-03T12:04:21Z |
|
| dc.identifier |
e78ba33c-338d-4bcd-88c6-7cf799eddcfd |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/e78ba33c-338d-4bcd-88c6-7cf799eddcfd/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/95544 |
|
| dc.description |
In this paper, the maximal dissipative extensions of a symmetric singular 1D discrete Hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at +/-infinity) and acting in the Hilbert space l(Omega)(2)(Z; C-2) (Z := {0, +/- 1, +/- 2, ...}) are considered. We consider two classes dissipative operators with separated boundary conditions both at -infinity and infinity. For each of these cases we establish a self-adjoint dilation of the dissipative operator and construct the incoming and outgoing spectral representations that makes it possible to determine the scattering function (matrix) of the dilation. Further a functional model of the dissipative operator and its characteristic function in terms of the Weyl function of a selfadjoint operator are constructed. Finally we show that the system of root vectors of the dissipative operators are complete in the Hilbert space l(Omega)(2)(Z; C-2). |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
DILATIONS, MODELS, SCATTERING AND SPECTRAL PROBLEMS OF 1D DISCRETE HAMILTONIAN SYSTEMS |
|
| dc.type |
info:eu-repo/semantics/article |
|