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 The twenty-fifth congress of the Communist Party of the Soviet Union 475 On some questions in the theory of $\Gamma$-extensions of algebraic number fieldsV. A. Babaitsev 477 The Weyl group of a graded Lie algebraÈ. B. Vinberg 488 Representations of partially ordered sets over commutative ringsV. V. Plakhotnik 527 A criterion for the decomposability of a homogeneous representation of a locally compact group into a direct integral of its irreducible representationsM. A. Naimark 544 Harmonic analysis on Riemannian symmetric spaces of negative curvature and scattering theoryM. A. Semenov-Tian-Shansky 562 Nested matrix disks analytically depending parameter, and theorems on the invariance radii of limiting disksS. A. Orlov 593 Imbedding theorems and geometric inequalitiesV. S. Klimov 645 Solution of a problem of S. Ulam on optimal matching of segmentsA. Ya. Dubovitskii 672 Equiconvergence of expansions in a multiple Fourier series and Fourier integral for summation over squaresI. L. Bloshanskii 685 Corrections to the paper of A. Kurato and M. P. Kats “Theorems on lifting vector-valued functions”A. Kurato, M. P. Kats 706