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1970, Volume 190, Number 6  


MATHEMATICS
mean value formula for the fundamental functions of the Beltrami operator, and a precise estimate of the sum of the squares of the fundamental functions
A. A. Arsen'ev, V. A. Il'in
1263
Cohomologies of the Lie algebra of smooth vector fields
I. M. Gel'fand, D. B. Fuchs
1267
Nonabelian $CL$-groups
D. I. Zaitsev, L. M. Klyatskaya
1271
Classification and characteristic properties of Carleman operators
V. B. Korotkov
1274
The approximation of functions satisfying a Lipschitz condition by algebraic polynomials
B. V. Krivosheev, A. P. Savin
1278
A certain compactification of noncompact symmetric Riemannian spaces
G. F. Kushner
1282
$L(1,\chi)$ with real Dirichlet character on sparse sets of values of the modulus of the character
A. F. Lavrik
1286
The existence of a value of a pursuit game
N. N. Petrov
1289

CYBERNETICS AND THE REGULATION THEORY
Estimate of the closeness of statistical characteristics of one class of nonstationary linear automatic control systems
V. A. Kiselev
1292

THEORY OF ELASTICITY
A self-similar problem of the dynamic theory of elasticity for a crack with a point source
E. F. Afanas'ev, G. P. Cherepanov
1296
Integral representations of solutions in shallow shell theory
L. A. Fil'shtinskii
1300

ASTRONOMY
On the temperature of exospheres of the Earth, Mercury, Venus, Mars and of the solar corona
I. M. Matora
1303

PHYSICS
About one integral of differential equation of the induction of magnetic field for a flow of dissipative plasma
L. E. Kalikhman
1305
Nucleonic composition and excitation energy of the nuclei undergoing fission in the irradiation of $\mathrm{Bi}^{209}$, $\mathrm{Pb}^{208}$ and $\mathrm{Au}^{197}$ targets with the photons of $\mathrm{E}_{\gamma\max}=1$ Gev energy
A. P. Komar, B. A. Bochagov, A. A. Kotov, G. G. Semenchuk, G. E. Solyakin
1308
On the use of Faddeev equations and the calculation of the electron scattering length on hydrogen
L. P. Kotova, M. V. Terent'ev
1312
Non-linear light scattering on small particles
A. A. Manenkov
1315
The kinetic equation with non-lagrangian forces
I. P. Pavlotsky
1318
On the structure of liquid nickel and iron
E. Z. Spector
1322

GEOPHYSICS
The PP wave generated in nuclear explosion, and decay of longitudinal waves in the upper mantle
L. P. Vinnik, G. G. Dashkov
1340

LETTER TO THE EDITORIAL
Поправки к статье “О вращении многозначных векторных полей” (ДАН, 187, № 5, 1969 г.)
Yu. G. Borisovich, B. D. Gel'man, È. M. Muhamadiev, V. V. Obukhovskii
 
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