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Submitted 1967-01-01 | RussiaRxiv: ru-196701.17083 | Translated from Russian

Abstract

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Pages
I. I. Bavrin. Integral representations of functions holomorphic in convex multiple-circular regions, and Taylor’s formula 1217
V. A. Baranova. Interpolation of functions that are regular on closed sets 1221
B. A. Vostretsov, A. V. Ignatieva. Existence of the best approximations of functions by the sums of a finite number of plane waves of given directions in the \(L_p\) metric 1225
V. N. Goldberg. The appearance of discontinuities on the continuation of solutions to non-linear mixed problems for the string equation 1229
P. P. Zabreiko, M. A. Krasnosel’skii. A method for the production of new stationary point principles 1233
I. A. Kiprianov. Self-adjoint extensions of certain singular partial differential operators 1236
Iu. S. Kolesov. Periodical solutions to a class of differential equations with hysteretic non-linearity 1240
A. Lelek. On an estimate of the defect of a space 1244
A. M. Olevskii. Growth order of Lebesgue functions of bounded orthonormal systems 1247
E. M. Semenov. Interpolation of linear operators and estimates of Fourier coefficients 1251
I. B. Simonenko. Convolution operators in cones 1255
A. B. Sosinskii. Homotopy of complements to knots 1258
M. M. Khapaev. A Liapunov type theorem 1262
E. R. Tsekanovskii. Description of generalized extensios with a unidimensional imaginary component of the differentiation operator without a spectrum 1266
FLUID MECHANICS
I. N. Gorshkova, K. P. Staniukovich. Initial stage of two-dimensional unsteady gas flow 1270
PHYSICS
Iu. N. Denisiuk, D. I. Stasel’ko. The possibility of holograms being obtained by means of a referent ray whose wavelength differs from that of the radiation scattered by the object 1274
E. D. Martynov, V. I. Trefilov, S. A. Firstov, B. I. Beresnev, Iu. N. Riabinin. Electron-microscope investigation of chromium and molybdenum deformed under a high pressure 1276
J. J. Shipuk, S. V. Pashkin. Ionization instability of plasma in crossed fields 1278
TECHNICAL PHYSICS
L. V. Kirenskii, S. G. Rusova, G. I. Rusov, N. I. Sivkov. Some magnetic properties of thin single-crystal films of Fe—Ni—Co alloys 1282
N. M. Mikhin, I. V. Kragel’skii. Variation of the tangency area between solids as they are moving closer together 1285
GEOPHYSICS
N. S. Shishkin. Cloud and fog drops charged electrically by diffusion 1288

Corrections

In my article (I. I. Ogievetskii, “Summation of unbounded sequences by linear regular methods”), published in Doklady Akademii Nauk, vol. 167, no. 5, 1966, the first three lines of the statement of Theorem 4 (p. 990) should read as follows:

Theorem 4. Whatever \(p\) unbounded linearly independent sequences \(\{s^1\}, \{s^2\}, \ldots, \{s^p\}\) and numbers \(x_1, x_2, \ldots, x_p\) may be, one can effectively construct a normal regular matrix \(A\) such that: 1) the matrix …

I. I. Ogievetskii

Submission history

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