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1975, Volume 223, Number 1  


MATHEMATICS
On a conditionally correct problem for the biharmonic equation
M. A. Atakhodzhaev
11
General integral representations for holomorphic functions of several complex variables with $n$-dimensional defining manifolds in $C^n$
I. I. Bavrin
13
Logarithmic growth of arithmetic means of Lebesgue functions of bounded orthonormal systems
S. V. Bochkarev
16
Some inequalities for polynomials with real coefficients
V. I. Buslaev
20
A generalization of S. N. Bernstein's inequality for trigonometric polynomials
T. G. Genchev
23
On a family of generalized shift operators
R. J. Grabovskaya, V. I. Kononenko, V. B. Osipov
27
Some applications of abstract analytic functions to the investigation of boundary properties of series of holomorphic functions
A. A. Danilevich
31
Constructive characterization of a certain class of functions
I. I. Ibragimov, J. I. Mamedkhanov
35
Frequency estimates of errors in the numerical integration of differential equations
V. M. Kalnin
38
On a class of degenerate differential equations of higher order
S. Ya. L'vin
42
On the value distribution of certain classes of entire functions of several complex variables
V. P. Petrenko
46
An integral representation of functions of two complex variables that are analytic in circular domains
A. T. Khvostov
49
Abstract isomorphisms of solvable algebraic groups
A. A. Sharomet
53

CYBERNETICS AND THE REGULATION THEORY
A theorem in the perturbation theory of linear operators and its applications in the theory of linear dynamic systems
V. L. Azarov, L. N. Lupichev, G. A. Tavrizov
56
Increasing the capacity of linear correcting codes
R. R. Varshamov
60
Synthesis of nonstationary systems which are optimal according to a generalized criterion
V. P. Perov
64
Method of extremal characteristics
A. S. Uskov
68

MATHEMATICAL PHYSICS
Petrov classification of standing and traveling gravitational waves
L. P. Grishchuk, M. V. Sazhin
72

PHYSICS
Restoration of pulse distribution of annihilating $(\mathrm{e}^+-\mathrm{e}^-)$-pairs from angular correlation curves
V. I. Gol'danskiĭ, A. O. Tatur, A. V. Shishkin
76
Generation of organic dyes in the 339–640 nm range during the excitation by plasma focus of the magnetoplasma compressor
N. P. Kozlov, Yu. S. Protasov
80
On the limiting sensitivity of instruments with large relaxation time
A. A. Krasovskii
83

GEOPHYSICS
On earth interior dynamic shear modulus
S. Ts. Akopyan, V. N. Zharkov, V. M. Lyubimov
87

CRYSTALLOGRAPHY
On the decomposition of random maxima of real Patterson function into interatomic interaction components
V. V. Ilyukhin, B. N. Grechushnikov, N. V. Belov
90
 
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