| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2011-12-31T22:00:00Z |
|
| dc.date.accessioned |
2020-10-06T09:15:47Z |
|
| dc.date.available |
2020-10-06T09:15:47Z |
|
| dc.identifier |
008cc307-93f9-4b91-a1d6-7ed21aeab564 |
|
| dc.identifier |
10.1155/2012/473461 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/008cc307-93f9-4b91-a1d6-7ed21aeab564/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/51899 |
|
| dc.description |
We consider the maximal dissipative second-order difference (or discrete Sturm-Liouville) operators acting in the Hilbert space l(w)(2)(Z) (Z:= {0, +/- 1, +/- 2,...}), that is, the extensions of a minimal symmetric operator with defect index (2,2) in the Weyl-Hamburger limit-circle cases at +/-infinity). We investigate two classes of maximal dissipative operators with separated boundary conditions, called "dissipative at -infinity" and "dissipative at infinity." In each case, we construct a self-adjoint dilation of the maximal dissipative operator and its incoming and outgoing spectral representations, which make it possible to determine the scattering matrix of the dilation. We also establish a functional model of the maximal dissipative operator and determine its characteristic function through the Titchmarsh-Weyl function of the self-adjoint operator. We prove the completeness of the system of eigenvectors and associated vectors of the maximal dissipative operators. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Nonself-Adjoint Second-Order Difference Operators in Limit-Circle Cases |
|
| dc.type |
info:eu-repo/semantics/article |
|