Abstract
Let be the energy operator of a system of three pairwise interacting particles whose pair potentials admit the estimate and suppose the subsystems of two particles have no virtual levels. It is established that the singular continuous spectrum of is empty and its positive eigenvalues have no finite limit points. The considerations of the paper are based on a study of Faddeev's equations in coordinate representation and an application of imbedding theorems for anisotropic Sobolev classes in the space .Bibliography: 13 titles.
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