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dc.creatorBascanbaz-Tunca, Gülenes
dc.date2017-05-08
dc.date.accessioned2026-09-25T13:07:11Z
dc.date.available2026-09-25T13:07:11Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1550
dc.identifier10.4067/S0716-09172006000100005
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/256491
dc.descriptionIn 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
dc.languageen
dc.publisherUniversidad Católica del Norte.en
dc.rightsCopyright (c) 2006 Proyecciones. Journal of Mathematicsen
dc.rightshttps://creativecommons.org/licenses/by/4.0en
dc.sourceProyecciones (Antofagasta); Vol. 25 No. 1 (2006); 63-78en
dc.sourceProyecciones. Revista de Matemática; Vol. 25 Núm. 1 (2006); 63-78es
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2006
dc.titleA spectral expansion for Schrödinger operatores
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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