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1979, Volume 245, Number 1  


MATHEMATICS
The $V$-principle and Paley–Wiener theorems for vector-valued generalized functions
Yu. M. Vuvunikyan, S. D. Karakozov
11
On trigonometric sums
N. M. Korobov
14
An estimate for the probability of a diffusion process hitting a set of positive measure
N. V. Krylov, M. V. Safonov
18
An estimate of the length of the gaps in the spectrum of the Laplace operator for a plane convex domain
V. F. Lazutkin
20
Closure and basicity of certain biorthogonal systems and the solution of the multiple interpolation problem in $H_p[\alpha;\omega]$
V. M. Martirosyan
24
Class number of algebraic groups
V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk
28
A new method for the proof of the inequalities between mixed volumes and the generalization of Aleksandrov–Fenchel–Shephard inequalities
V. P. Fedotov
31
On the perturbation of a polyharmonic operator by potentials with small supports
A. Fraguela Collar
34
On the choice of regularization parameter from the generalized residual principle
A. G. Yagola
37

CYBERNETICS AND THE REGULATION THEORY
A model for computation upon a store with a soluble equivalence problem
A. Buda
40
Image reconstruction
Yu. P. Pyt'ev
42

MECHANICS
Investigation of the stability of the equilibrium of threedimensional deformable bodies
L. V. Ershov, E. I. Zeldich
47
Duality problems in the theory of the limit load for ideally plastic bodies
Ya. A. Kamenyarzh
51

GEOPHYSICS
Forecast of earthquakes by the method of deep electrical probing of the earth crust using “Pamir-1” MHD-generator
I. L. Nersesov, A. Ya. Sidorin, V. I. Zhuravlev, E. P. Velikhov, Yu. M. Volkov, Yu. I. Kuksa, V. V. Vengerskii, Yu. P. Babakov, A. V. Pisakin, Yu. I. Isaev, V. M. Nazarovskii
55
On the nature of Gazli earthquakes
E. S. Shtengelov
59

MATHEMATICAL PHYSICS
Development of kinetic equations in the theory of stochastic dynamical systems, based on properties of cumulant functions of the perturbation Hamiltonian
Yu. N. Barabanenkov
63
On the theory of proper optic waveguide in a medium with nonlinearity saturation
L. M. Degtyarev, V. V. Krylov
67
On estimates of the solution of the Helmholtz equation in a plane waveguide
È. A. Polyanskii
71
Decay of bound state in an external field in quasi-classical approximation
M. Yu. Sumetsky, G. V. Dubrovskiy
74

PHYSICS
The influence of metal – dielectric transition upon critical state of conducting liquids
M. A. Anisimov, V. M. Zaprudskii
78
Low-threshold atomic xenon transition lasers with nuclear pumping
A. M. Voinov, L. E. Dovbysh, V. N. Krivonosov, S. P. Mel'nikov, I. V. Podmoshenskiĭ, A. A. Sinyanskii
80
Thermomagnetic effects and the stability of critical state in hard superconductors
A. Vl. Gurevich, R. G. Mints
83
Effect of orientation relaxation processes on the fluorescence kinetics of complex organic molecules
V. T. Koyava, V. I. Popechits, A. M. Sarzhevskii, A. N. Sevchenko
87
Suppression of internal kink mode $m=1$ in tokmak by a feedback system
A. B. Mikhailovskii
90

CRYSTALLOGRAPHY
Solubility of rare-earth ferruginous borates in the $\mathrm{Bi}_2\mathrm{O}_3$$\mathrm{B}_2\mathrm{O}_3$ melt and their crystallization
L. I. Alshinskaya, N. I. Leonyuk, T. B. Nadezhnaya, T. I. Timchenko
104
Crystal structure of kazakovite, $\mathrm{Na}_6\mathrm{Mn}\{\mathrm{Ti}[\mathrm{Si}_6\mathrm{O}_{18}]\}$
A. A. Voronkov, Z. V. Pudovkina, V. A. Blinov, V. V. Ilyukhin, Yu. A. Pyatenko
106
Crystal structure of calcium germanate, $\mathrm{Ca}_2\mathrm{Ge}_2[\mathrm{GeO}_4][\mathrm{Ge}_4\mathrm{O}_{12}]$
N. N. Nevsky, V. V. Ilyukhin, L. I. Ivanova, N. V. Belov
110
 
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