Includes bibliographical references.

Extremal properties of entire functions of exponential type /; Constructive characterizations of some function classes /; On the decrease of harmonic functions of three variables /; Differentiability relative to congruent sets /; Representability of functions by superposition of functions of a smaller number of variables /; Some estimates for trigonometric series with quasi-convex coefficients /; Generalization of the Carlson inequality /; A Tauberian theorem on large indices for the Borel method /; On a question involving equivalence of conditions for convergence of Fourier series /; On series relative to the system {\phi (nx)\} /; Imbedding theorems and their application to solving elliptic equations /; On the regular approximation of solutions of complex elliptic equations of arbitrary order /; On the rate of convergence of certain approximation methods of Galerkin type in an eigenvalue problem /; Uniqueness theorem for the �Caplygin problem. I /; Uniqueness theorem for the �Caplygin problem. II / N. I. Ahiezer; R. M. Trigub; I. S. Arson; G. H. Sindalovskii; A. G. Vituskin; S. A. Teljakovskii; V. I. Levin and E. K. Godunova; V. I. Melnik; M. K. Potapov; V. F. Gaposkin; L. D. Kudrjavcev and S. M. Nikolskii; E. M. Saak; G. M. Vainikko; Dong Guang-Chang (Tung Kuang-Chang); Dong Guang-Chang (Tung Kuang-Chang)