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math.SP2015★ 4 cited
Properties of the l=1 radial part of the Laplace operator in a special scalar product
T. A. Bolokhov
We develop self-adjoint extensions of the l=1 radial part of the Laplace operator in a special scalar product. The product arises as the transfer of the plain product from R^3 into…
math.SP2014★ 1 cited
Spectral properties and self-adjoint extensions of the third power of the radial Laplace operator
T. A. Bolokhov
We consider self-adjoint extensions of differential operators of the type on the real semi-axis for l=1,2 with two kinds of boundary…
math.SP2014★ 1 cited
Extensions of the quadratic form of the transverse Laplace operator
T. A. Bolokhov
We review the quadratic form of the Laplace operator in 3 dimensions in spehrical coordinates which acts on the transverse components of vector functions. Operators, acting on the…