Geodesic
Scattering at a strongly singular potential
Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 217-228.

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Hilbert's equation for the resolvent and the maximum principle for the equation $-\Delta u+V(x)u=0$ is used to construct a self-adjoint extension of the operator $-\Delta+V(x)$ with a positive singular potential $V(x)$. The properties of this operator are investigated. 
@article{MZM_1970_8_2_a9,
     author = {V. V. Kucherenko},
     title = {Scattering at a strongly singular potential},
     journal = {Matemati\v{c}eskie zametki},
     pages = {217--228},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a9/}
}
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V. V. Kucherenko. Scattering at a strongly singular potential. Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 217-228. http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a9/