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1968, Volume 181, Number 4  


MATHEMATICS
Continuability and a functional equation for zetafunctions with nonabelian characters of simple algebras over number fields
A. N. Andrianov
775
Multiplicative functions on “shifted” prime numbers
M. B. Barban, B. V. Levin
778
The uniform convergence of frequencies of the appearance of events to their probabilities
V. N. Vapnik, A. Ya. Chervonenkis
781
Degenerate linear differential equations in a Banach space
V. P. Glushko, S. G. Krein
784
A general boundary value problem for a certain system of equations of composite type
A. Dzhuraev
788
Garding’s inequality for degenerating elliptic operators
I. A. Kipriyanov
792
A contribution to the theory of semisyntopogenic spaces
V. V. Maslov
795
The Cauchy problem for a second order hyperbolic equation which is degenerate on the initial hyperplane
A. B. Nersesyan
798
An a priori estimate of the principal radii of curvature of a closed convex hypersurface, depending on its Gaussian curvature
A. V. Pogorelov
802
The stability of small periodic solutions at multidimensional degeneracies
T. Sabirov
805
Necessary and sufficient conditions for the stability of double layer difference schemes
A. A. Samarskii
808
A Fourier transform method for functional derivative equations
S. V. Fomin
812

AERODYNAMICS
A second approximation in the theory of asymptotic damping of disturbances in supersonic flow of a viscous heat-conducting gas
V. N. Diesperov
815

FLUID MECHANICS
Spherical sound waves in Riemannian space
K. P. Stanyukovich
819

PHYSICS
Measurement of the density of structurally modified water drops
B. V. Deryagin, D. S. Lychnikov, K. M. Merzhanov, Ya. I. Rabinovich, N. V. Churaev
823
On the analysis of the chemical composition of the Moon's surface by direct methods
B. P. Konstantinov, M. M. Bredov, S. V. Viktorov, G. V. Kir'yan, G. E. Kocharov, V. O. Naidenov
827
Perturbation theory for polarization in resonance media
N. N. Rosanov, A. V. Tulub
830
Motion of ions in their own gas in a constant electric field
B. M. Smirnov
833
Empirical mass regularities of resonance states
D. V. Shirkov
837

GEOPHYSICS
Destruction of developing cumulus by artificially produced downward currents
N. I. Vulfson, L. M. Levin
855

CRYSTALLOGRAPHY
Crystallooptics with allowance for the magnetoelectric effect
V. N. Lyubimov
858
Crystallochemical refularities in the formation of spectrometric scincillators based on alkali-halogen crystals
L. M. Shamovskii, A. D. Shushkanov
862
 
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