Dirac systems with regular and singular transmission effects

Uğurlu, Ekin

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