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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
11–14
On trigonometric sums
N. M. Korobov
14–17
An estimate for the probability of a diffusion process hitting a set of positive measure
N. V. Krylov, M. V. Safonov
18–20
An estimate of the length of the gaps in the spectrum of the Laplace operator for a plane convex domain
V. F. Lazutkin
20–23
Closure and basicity of certain biorthogonal systems and the solution of the multiple interpolation problem in $H_p[\alpha;\omega]$
V. M. Martirosyan
24–27
Class number of algebraic groups
V. P. Platonov, A. A. Bondarenko, A. S. Rapinchuk
28–31
A new method for the proof of the inequalities between mixed volumes and the generalization of Aleksandrov–Fenchel–Shephard inequalities
V. P. Fedotov
31–34
On the perturbation of a polyharmonic operator by potentials with small supports
A. Fraguela Collar
34–36
On the choice of regularization parameter from the generalized residual principle
A. G. Yagola
37–39

CYBERNETICS AND THE REGULATION THEORY
A model for computation upon a store with a soluble equivalence problem
A. Buda
40–42
Image reconstruction
Yu. P. Pyt'ev
42–46

MECHANICS
Investigation of the stability of the equilibrium of threedimensional deformable bodies
L. V. Ershov, E. I. Zeldich
47–50
Duality problems in the theory of the limit load for ideally plastic bodies
Ya. A. Kamenyarzh
51–54

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
55–58
On the nature of Gazli earthquakes
E. S. Shtengelov
59–62

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
63–66
On the theory of proper optic waveguide in a medium with nonlinearity saturation
L. M. Degtyarev, V. V. Krylov
67–71
On estimates of the solution of the Helmholtz equation in a plane waveguide
È. A. Polyanskii
71–74
Decay of bound state in an external field in quasi-classical approximation
M. Yu. Sumetsky, G. V. Dubrovskiy
74–77

PHYSICS
The influence of metal – dielectric transition upon critical state of conducting liquids
M. A. Anisimov, V. M. Zaprudskii
78–80
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
80–83
Thermomagnetic effects and the stability of critical state in hard superconductors
A. Vl. Gurevich, R. G. Mints
83–86
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
87–90
Suppression of internal kink mode $m=1$ in tokmak by a feedback system
A. B. Mikhailovskii
90–93

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
104–106
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
106–109
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
110–113
 
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