Dirac Systems with Regular and Singular Transmission Effects
| dc.contributor.author | Ugurlu, Ekin | |
| dc.date.accessioned | 2026-04-03T15:00:43Z | |
| dc.date.available | 2026-04-03T15:00:43Z | |
| 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. | |
| dc.identifier.doi | 10.3906/mat-1601-70 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.scopus | 2-s2.0-85010584146 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15988 | |
| dc.identifier.uri | https://doi.org/10.3906/mat-1601-70 | |
| dc.language.iso | en | |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | |
| dc.relation.ispartof | Turkish Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Characteristic Function | |
| dc.subject | Transmission Condition | |
| dc.subject | Dissipative Operator | |
| dc.subject | First-Order System | |
| dc.subject | Scattering Function | |
| dc.title | Dirac Systems with Regular and Singular Transmission Effects | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Uğurlu, Ekin (36661368600) | |
| gdc.author.scopusid | 36661368600 | |
| gdc.description.department | Çankaya Üniversitesi | |
| gdc.description.departmenttemp | [Ugurlu, Ekin] Cankaya Univ, Dept Math, Fac Arts & Sci, Ankara, Turkey | |
| gdc.description.endpage | 210 | |
| gdc.description.issue | 1 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 193 | |
| gdc.description.volume | 41 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.wos | WOS:000392340700018 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.virtual.author | Uğurlu, Ekin | |
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