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 Systems of random variables equivalent in distribution to the Rademacher system and $\mathscr K$-closed representability of Banach couplesS. V. Astashkin 3 On a criterion for the topological conjugacy of a quasisymmetric group to a group of affine transformations of $\mathbb R$L. A. Beklaryan 31 On the Dirichlet problem for the Helmholtz equation on the plane with boundary conditions on an almost closed curveR. R. Gadyl'shin 43 On the problem of control synthesis: the Pontryagin alternating integral and the Hamilton–Jacobi equationA. B. Kurzhanskii, N. B. Melnikov 69 Birationally rigid Fano double hypersurfacesA. V. Pukhlikov 101 An almost Spechtian variety of alternative algebras over a field of characteristic 3S. V. Pchelintsev 127 On the problem of the description of sequences of best rational trigonometric approximationsA. P. Starovoitov 145 Double canal hypersurfaces in the Euclidean space $E^n$M. A. Cheshkova 155