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We develop self-adjoint extensions of the l=1 radial part of the Laplaceoperator in a special scalar product. The product arises as the transfer of theplain product from R^3 into the set of functions parametrizing one of the twocomponents of the transverse vector field. The similar extensions are treatedfor the square of inverse operator of the radial part in question.

Properties of the l=1 radial part of the Laplace operator in a special scalar product