| dc.creator | Bascanbaz-Tunca, Gülen | |
| dc.date | 2017-05-08 | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1550 | |
| dc.identifier | 10.4067/S0716-09172006000100005 | |
| dc.description | In this paper we consider the Schrödinger operator L generated inL²(R+) byy''+q(x)y= µy; x ∈ R+ := [0, ∞)subject to the boundary conditiony'(0)-hy(0)=0,where q is a complex valued function summable in [0, ∞ and h ≠ 0 is a complex constant, µ is a complex parameter. We have assumed thatholds which is the minimal condition that the eigenvalues and the spectral singularities of the operator L are finite with finite multiplicities. Under this condition we have given the spectral expansion formula for the operator L using an integral representation for the Weyl function of L. Moreover we also have investigated the convergence of the spectral expansion. | es-ES |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.rights | Copyright (c) 2006 Proyecciones. Journal of Mathematics | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 25 No. 1 (2006); 63-78 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 25 Núm. 1 (2006); 63-78 | es-ES |
| dc.source | 0717-6279 | |
| dc.subject | Spectrum | es-ES |
| dc.subject | Weyl function | es-ES |
| dc.subject | spectral expansion | es-ES |
| dc.subject | espectro | es-ES |
| dc.subject | función de Weyl | es-ES |
| dc.subject | expansión espectral. | es-ES |
| dc.title | A spectral expansion for Schrödinger operator | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
