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 Some theorems of the theory of Chebyshev approximations in Hilbert spaceS. I. Zukhovitskii 3 Questions of the stability of solutions of a system of two linear differential equations of canonical form with periodic coefficientsV. A. Yakubovich 21 Differentiable mappings and the order of connectivityA. M. Rodnyanskii 69 On stability of motion in the critical case of a single zero rootN. N. Krasovskii 83 Direct decompositions of Dedekind latticesE. N. Mochul'skii 89 On curvature of level lines and of their orthogonal trajectories in conformal mappingsG. V. Koritskii 103 On universal setsA. D. Taimanov 117 On the description of all unitary representations of the complex classical groups. IIM. A. Naimark 121 Correlation theory of processes with random stationary $n$th incrementsA. M. Yaglom 141 On the geometry of a double integralL. E. Evtushik 197