The differential operator -(d(2)/dx(2)) - (gamma/x), gamma is an eleme
nt of R, in one dimension is studied using distribution theory. It is
proven that there exists a unique self-adjoint operator corresponding
to the differential expression understood in the principle-value sense
. Point interactions determined by the singular operator -(d(2)/dx(2))
- (gamma/x)+alpha delta(x) are studied.