A spectral expansion for Schrödinger operator
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Bascanbaz-Tunca, Gülen [1]
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[1] Ankara University
Ankara University
Turquía
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- Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 25, Nº. 1, 2006, págs. 63-78
- Idioma: inglés
- DOI: 10.4067/S0716-09172006000100005
- Enlaces
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Resumen
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.
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Referencias bibliográficas
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