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 Necessary and sufficient conditions for the possibility of approximating a function on a circumference by rational fractions, expressed in terms directly connected with the distribution of poles of the approximating fractionsG. Ts. Tumarkin 969 Stability of solutions of differential-difference equations with periodic coefficientsZ. I. Rekhlitskii 981 Certain characteristic properties of differential operators of infinite orderYu. F. Korobeinik 993 Continuous branches of semi-eigenvectors of nonlinear operatorsI. A. Bakhtin 1017 Boundary value problems for equations of higher orders in infinite regionsG. N. Finozhenok 1027 Reducibility of a system of ordinary differential equations in a neighborhood of a smooth toroidal manifoldA. M. Samoilenko 1047 Rational surfaces with a pencil of elliptic curvesI. V. Dolgachev 1073 Integration of almost periodic functions with values in a Banach spaceB. M. Levitan 1101 Structure of unitary representations of locally bicompact groups and symmetric representations of algebras in the Pontrjagin spaces $\Pi_{k}$M. A. Naimark 1111 The Cauchy problem for equations of odd order which are correct in the sense of I. G. PetrovskiiV. M. Borok, Ya. I. Zhitomirskii 1133 An integral associated with Riemannian symmetric spaces of non-positive curvatureS. G. Gindikin, F. I. Karpelevich 1147 A proof of commensurability of the Favard and Hausdorff measures for sets of bounded variationsV. A. Zhil'tsov 1157 Best approximations of classes of periodic functions by trigonometric polynomialsA. V. Efimov 1163 The order and the index of an elliptic curveP. A. Medvedev 1179 Walsh series and the theorem of Men'sov on “correction” of functionsB. D. Kotlyar 1193