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Dirac systems with regular and singular transmission effects

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dc.contributor.author Uğurlu, Ekin
dc.date.accessioned 2018-09-12T07:57:43Z
dc.date.available 2018-09-12T07:57:43Z
dc.date.issued 2017
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.issn 1300-0098
dc.identifier.uri http://hdl.handle.net/20.500.12416/1695
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.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.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
dc.relation.journal Turkish Journal of Mathematics tr_TR
dc.contributor.authorID 238990 tr_TR
dc.identifier.volume 41 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 193 tr_TR
dc.identifier.endpage 210 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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