Geodesic
Some properties of generalized spectral problems associated with the Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 59-68 
N. E. Firsova; A. I. Sherstyuk. Some properties of generalized spectral problems associated with the Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 59-68. http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a5/
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     title = {Some properties of~generalized spectral problems associated with the {Schr\"odinger} equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Dependence of the spectrum of generalized eigen-value problems connected with the one-particle Schrödinger equation upon the form of the weight operator and value of the energy parameter is investigated. Under sufficiently general conditions corresponding systems of eigen-functions realize diagonal representations of the Green function and can be used for constructing spectral expansions with the most convenient character of the spectrum.

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