Dirac systems with regular and singular transmission effects
| dc.contributor.author | Uğurlu, Ekin | |
| dc.contributor.authorID | 238990 | tr_TR |
| dc.contributor.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü | tr_TR |
| dc.date.accessioned | 2018-09-12T07:57:43Z | |
| dc.date.available | 2018-09-12T07:57:43Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this paper, we investigate the spectral properties of singular eigenparameter dependent dissipative problems in Weyl's limit-circle case with finite transmission conditions. In particular, these transmission conditions are assumed to be regular and singular. To analyze these problems we construct suitable Hilbert spaces with special inner products and linear operators associated with these problems. Using the equivalence of the Lax-Phillips scattering function and Sz-Nagy-Foias characteristic functions we prove that all root vectors of these dissipative operators are complete in Hilbert spaces. | tr_TR |
| dc.identifier.citation | Uğurlu, E. (2017). Dirac systems with regular and singular transmission effects. Turkish Journal of Mathematics, 41(1), 193-210. http://dx.doi.org/10.3906/mat-1601-70 | tr_TR |
| dc.identifier.endpage | 210 | tr_TR |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issue | 1 | tr_TR |
| dc.identifier.startpage | 193 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12416/1695 | |
| dc.identifier.volume | 41 | tr_TR |
| dc.language.iso | eng | tr_TR |
| dc.publisher | Scientific Technical Research Council Turkey-TUBİTAK | tr_TR |
| dc.relation.isversionof | 10.3906/mat-1601-70 | tr_TR |
| dc.relation.journal | Turkish Journal of Mathematics | tr_TR |
| dc.rights | info:eu-repo/semantics/embargoedAccess | tr_TR |
| dc.subject | Dissipative Operators | tr_TR |
| dc.subject | First-Order System | tr_TR |
| dc.subject | Transmission Condition | tr_TR |
| dc.subject | Scattering Function | tr_TR |
| dc.subject | Characteristic Function | tr_TR |
| dc.title | Dirac systems with regular and singular transmission effects | tr_TR |
| dc.type | article | tr_TR |