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1972, Volume 203, Number 1  


MATHEMATICS
Asymptotics of the average number of $A$-points of overshoot of a Gaussian field beyond a high level
Yu. K. Belyaev, V. I. Piterbarg
9
On positive definite functions of infinitely many variables
Yu. M. Berezanskii, I. M. Gali, V. A. Zhuk
13
On forms orthogonal to holomorphic functions on integration along the boundary of strictly pseudoconvex domains
Sh. A. Dautov
16
On the factorization of symmetric integral operators
N. B. Engibaryan
19
On the accuracy of approximation in the central limit theorem
V. M. Zolotarev
22
On the arithmetic of $p$-extensions
A. F. Ivanov
25
The structure of a group of polynomial matrices unitary in an indefinite metric of index $1$
B. D. Lyubachevskii
28
Minimax absorption in difference-differential games
Yu. S. Osipov
32
Regularity of generalized solutions of quasi-linear elliptic equations of arbitrary order
I. V. Skrypnik
36
Embedding theorems for functions of a countable number of variables and their application to the Dirichlet problem
N. N. Frolov
39
Tensor conditions for reducibility of elliptic and hyperbolic equations
I. D. Cherkasov
43

CYBERNETICS AND THE REGULATION THEORY
Differential games with variable informativeness conditions
A. A. Melikyan, F. L. Chernous'ko
46

MECHANICS
The stability of fast rotations of axisymmetric satellite in the gravitational field
V. V. Beletskii, A. P. Torzhevskii
50
Some models of filtration in porous media
M. A. Sattarov
54

FLUID MECHANICS
The flow around bodies in presudoliquefied media
V. N. Korolev, N. I. Syromyatnikov
58
Three-dimensional subsonic and supersonic flows in nozzles and duots of variable cross-section
U. G. Pirumov
60

MATHEMATICAL PHYSICS
A method of successive refinements for the solution of infinite systems of linear algebraic equations
L. N. Litvinenko
64

PHYSICS
On the properties of ruby laser stimulated radiation under the action of $\mathrm{Co}^{60}$ $\gamma$-radiation
U. A. Arifov, M. R. Bedilov, K. Khaidarov, U. Ègamov
68
Diffusion model of near-cathode region of a heavy-current arc discharge
I. I. Beilis, G. A. Lyubimov, V. I. Rahovskii
71

GEOPHYSICS
On the procedure of quantitative estimates of the regime of vertical oscillatory motions
V. N. Sholpo
91
 
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