"Published by the American Mathematical Society ... under a grant from the National Science Foundation"--Title page.

Includes bibliographical references.

On a class of complete orthonormal systems /; On an arithmetic method of orthogonalization in non-separable Hilbert spaces /; On functions of three variables /; On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition /; Representation of continuous functions of three variables by the superposition of continuous functions of two variables /; On convergent sequences of partial sums of trigonometric series /; Generalization of the Paley-Wiener-Schwartz theorem /; Metric convergence and metric isomorphism /; On the theory of positive definite generalized kernels /; Analytic functions in a normed ring /; Letter to the Editor /; On regular imbeddings and their application to the theory of approximation of functions /; Linear methods of approximation of certain classes of periodic continuous functions /; The approximation of periodic functions by Fej�er sums /; On norms of trigonometric polynomials and approximation of differentiable functions by linear averages of their Fourier series. I /; On a problem of optimal control /; On the leading edge of a region of cavitation / N. Ja. Vilenkin; D. M. Koteljanskii; V. I. Arnold; A. N. Kolmogorov; V. I. Arnold; D. E. Mensov; G. I. Eskin; N. I. Trebukova; N. Ja. Vilenkin; G. E. Silov; G. E. Silov; V. G. Boltjanskii, S. S. Ryskov and Ju. A. Saskin; A. V. Efimov; S. B. Steckin; S. A. Teljakovskii; N. N. Krasovskii; I. G. Portnov