On~dilatation theory and spectral analysis of dissipative Schrodinger operators in Weyl's limit-circle case
Izvestiya. Mathematics , Tome 36 (1991) no. 2, pp. 247-262

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Dissipative Schrödinger operators are studied in Weyl's limit-circle case. A selfadjoint dilation and a spectral model of these operators are constructed and the characteristic function is computed. Theorems on the completeness of the eigenfunctions of the dissipative operators are proved.
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     author = {B. P. Allakhverdiev},
     title = {On~dilatation theory and spectral analysis of dissipative {Schrodinger} operators in {Weyl's} limit-circle case},
     journal = {Izvestiya. Mathematics },
     pages = {247--262},
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     year = {1991},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1991_36_2_a1/}
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B. P. Allakhverdiev. On~dilatation theory and spectral analysis of dissipative Schrodinger operators in Weyl's limit-circle case. Izvestiya. Mathematics , Tome 36 (1991) no. 2, pp. 247-262. http://geodesic.mathdoc.fr/item/IM2_1991_36_2_a1/