This article is cited in 1 paper

Scattering at a strongly singular potential

V. V. Kucherenko

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 517.9

Received: 23.01.1969

 English version: Mathematical Notes, 1970, 8:2, 593–599

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