Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

Browse

Filters

20172

Settings

Publisher: search.filters.publisher.Tubitak Scientific & Technological Research Council TurkeySubject: search.filters.subject.Characteristic Function

Search Results

Now showing 1 - 2 of 2
  • Article
    Dissipative Operator and Its Cayley Transform
    (Tubitak Scientific & Technological Research Council Turkey, 2017) Ugurlu, Ekin; Tas, Kenan
    In this paper, we investigate the spectral properties of the maximal dissipative extension of the minimal symmetric differential operator generated by a second order differential expression and dissipative and eigenparameter dependent boundary conditions. For this purpose we use the characteristic function of the maximal dissipative operator and inverse operator. This investigation is done by the characteristic function of the Cayley transform of the maximal dissipative operator, which is a completely nonunitary contraction belonging to the class C-0. Using Solomyak's method we also introduce the self-adjoint dilation of the maximal dissipative operator and incoming/outgoing eigenfunctions of the dilation. Moreover, we investigate other properties of the Cayley transform of the maximal dissipative operator.
  • Article
    Dirac Systems with Regular and Singular Transmission Effects
    (Tubitak Scientific & Technological Research Council Turkey, 2017) Ugurlu, Ekin
    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.