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.
@article{IM2_1991_36_2_a1,
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},
publisher = {mathdoc},
volume = {36},
number = {2},
year = {1991},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1991_36_2_a1/}
}
TY - JOUR AU - B. P. Allakhverdiev TI - On~dilatation theory and spectral analysis of dissipative Schrodinger operators in Weyl's limit-circle case JO - Izvestiya. Mathematics PY - 1991 SP - 247 EP - 262 VL - 36 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1991_36_2_a1/ LA - en ID - IM2_1991_36_2_a1 ER -
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/