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53Relation Between Relativistic and Non-Relativistic Quantum Mechanics as Integral TransformationFoundations of Physics 32 (4): 607-626. 2002.A formulation of quantum mechanics (QM) in the relativistic configurational space (RCS) is considered. A transformation connecting the non-relativistic QM and relativistic QM (RQM) has been found in an explicit form. This transformation is a direct generalization of the Kontorovich–Lebedev transformation. It is shown also that RCS gives an example of non-commutative geometry over the commutative algebra of functions