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1970, Volume 194, Number 1  


MATHEMATICS
The Fourier series expansion of functions from the class $B^\alpha_{p,\theta}$ in an arbitrary fundamental function system of Laplace's operator
Sh. A. Alimov
9
Some questions in the theory of extremal problems of univalent functions of class $S$
K. I. Babenko
12
The approximate solution of nonlinear equations as a control process
B. A. Vertgeim
16
The method of functionals as applied to problems of the Zolotarev–Przeborski type
E. V. Voronovskaya
20
Conformal invariance and Huygens' principle
N. H. Ibragimov
24
Normal classes of smooth immersions and imbeddings
B. D. Malyi
28
A multidimensional analogue of the problem of Darboux for hyperbolic equations
A. M. Nakhushev
31
Prediction and filtration of functionals of the solutions of nonlinear differential equations with random functions
A. D. Shatashvili
35

THEORY OF ELASTICITY
Conditions under which Eulerís method can be used to investigate the stability under deformation of nonlinear elastic bodies subject to finite subcritical deformations
A. N. Guz
38

ASTRONOMY
A model of the interaction between solar wind and interstellar medium
V. B. Baranov, K. V. Krasnobaev, A. G. Kulikovskii
41
On the origin of the $[\mathrm{OI}]$ lines in supernova spectra
V. G. Gorbatskii
45

MATHEMATICAL PHYSICS
The influence of heat conductivity on the propagation of a laser radiation absorption wave
P. P. Volosevich, E. I. Levanov
49

PHYSICS
Some results of the study of radiowave passage through the explosion region
V. A. Vel'min, Yu. A. Medvedev, B. M. Stepanov
53
Measurement of electric fields in turbulent plasma based on Stark broadening of hydrogen spectral lines
E. K. Zavoiskii, Yu. G. Kalinin, V. A. Skoryupin, V. V. Shapkin, G. V. Sholin
55
Gamma-magnetic resonance in an one-domain ferromagnet
A. V. Mitin
59
On the classification of the curvature tensor by means of principal congruences
R. F. Polishchuk
62
Dispersion formula for hydrogen atom in ground state
M. I. Chibisov
66

GEOPHYSICS
On the nature of auroral magnetoionospheric perturbations
L. L. Vanyan, N. K. Osipov, V. G. Pivovarov
77
Experimental data on the layer of increased velocity in the Earth's upper mantle
Yu. P. Neprochnov, L. N. Rykunov
80

CRYSTALLOGRAPHY
Crystalline structure of synthetic barium silicate $\mathrm{Ba}_5[\mathrm{Si}_4\mathrm{O}_{12}](\mathrm{OH})_2$
O. S. Filipenko, E. A. Pobedimskaya, V. I. Ponomarev, D. M. Kheiker, N. V. Belov
83
Study of the structure of glasses of the $\mathrm{RO}$$\mathrm{Al}_2\mathrm{O}_3$$\mathrm{B}_2\mathrm{O}_3$$\mathrm{SiO}_2$ system
A. M. Shevyakov, A. A. Burba, A. I. Kuznetsov, A. I. Saturnov, Yu. P. Tarlakov
87
 
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