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1973, Volume 208, Number 1  


MATHEMATICS
On the rate of convergence of the distribution of the maximum of successive sums of independent random variables
T. Arak
11
Generalized integral representations for functions holomorphic in a polycylinder
I. I. Bavrin
14
Criteria for weak convergence of nonnegative measures, and $\sigma$-topological spaces
A. A. Borovkov, E. A. Pechersky
18
Stability of the solutions to differential equations with a nonlinear potential operator in Hilbert space
M. A. Veliev, Ya. D. Mamedov
21
Smooth functions on plane sets
E. M. Dyn'kin
25
Infinitesimal bending of a surface with a point of flatness
N. V. Efimov, Z. D. Usmanov
28
The averaging principle for parabolic equations with variable principal term
V. V. Zhikov
32
On a method for investigating the completeness of systems of analytic functions
I. I. Ibragimov
36
On the first boundary-value problem for higher-order hyperbolic equations
M. Meredov
39
On the distribution of the maximum sum of independent terms
V. B. Nevzorov
43
On an analogue of the Froissart decomposition theorems for two complex variables
Yu. V. Pedan
46
A complete solution of Hilbertís fourth problem
A. V. Pogorelov
48
A necessary and sufficient condition for the stability of a certain class of difference boundary value problems
S. I. Serdyukova
52
Generalized differential and infinite antagonistic games with dependent player strategies
È. R. Smol'yakov
56

MECHANICS
On solving liquid film equations and on the appearance of temperature maximum within vitreous body under conditions of strong external radiation
A. Z. Apshtein
60

FLUID MECHANICS
On convective stability of Bingham fluid
G. Z. Gershuni, E. M. Zhukhovitskiy
63

PHYSICS
On the theory of spark ignition
V. N. Vilyunov
66
On the improvement of laser radiation divergence on neodymium glass with high energy of radiation in the impulse
B. V. Ershov, V. A. Kiselev, Yu. P. Pimenov, V. B. Fyodorov
70

GEOPHYSICS
On the determination of polarization transfer function in the spectrophotometering of natural formations on the planet surface from the near-cosmos region
K. Ya. Kondrat'ev, O. I. Smoktiy
77
The use of vacuum ultraviolet radiation for the measurement of humidity pulsations
S. I. Krechmer, E. P. Gaidai
81
On an inequality of magnetic prospecting
H. H. Rempel'
84
On the relation between size-distribution of condensation nuclei and large cloud drops
V. I. Smirnov, B. N. Sergeev
87

CRYSTALLOGRAPHY
Crystalline structure of synthetic basic $\mathrm{K},\mathrm{Sc}$-germinate, $\mathrm{K}_2\mathrm{Sc}_2[\mathrm{Ge}_2\mathrm{O}_7](\mathrm{OH})_2$
Yu. A. Gorbunov, B. A. Maksimov, N. V. Belov
91
 
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