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1983, Volume 270, Number 1  


MATHEMATICS
Recurrence relations and variational inequalities
Ya. I. Al'ber
11
Scattering matrices in the teory of dilations of isometric operators
D. Z. Arov, L. Z. Grossman
17
On the theory of self-dual $\mathrm{SU}(3)$ gauge fields
A. V. Bitsadze
21
Integral representation of the Bergman kernel function and the Ramadanov conjecture
D. Boichu, G. Cœuré
23
On the stability of difference schemes for ill-posed problems
A. L. Bukhgeim
26
On higher-order methods for solving operator equations
F. P. Vasil'ev, L. N. Khromova
28
On some problems of linear regularizability
V. A. Vinokurov, E. N. Domanskii, L. D. Menikhes, A. N. Plichko
31
Fundamental tetrahedra in Euclidean and Lobachevsky spaces
I. K. Zhuk
35
On a theorem of A. Stone
A. P. Kombarov
38
A functional central limit theorem for semimartingales with values in Hilbert space
V. V. Lavrentyev
41
Torsion in the group $K_{2}$ for a local field
A. S. Merkur'ev
45
Domains of Korkin–Zolotarev reduction of positive quadratic forms in $n\leq8$ variables and reduction algorithms for these domains
N. V. Novikova
48
Difference imbedding theorems for Sobolev spaces with weights and their applications
E. S. Smailov
52
New congruences in the topology of real plane algebraic curves
T. Fidler
56
Asymptotics of the solutions of a nonlinear Hilbert problem
M. A. Èfendiev
58

MECHANICS
Paradoxes in the mechanics due to the vibrations
V. N. Chelomey
62

GEOPHYSICS
Two types of calm in the seismo acoustic forecast
A. A. Berdyev, V. A. Mukhamedov
68
Changes of geomagnetic field connected with seismic activity in the Tashkent geodynamic region
G. A. Mavlyanov, Yu. P. Tsvetkov, E. Berdaliev, K. N. Abdullabekov
72
On the interrelation between the earthquake magnitude and thermodynamic parameters in seismic focus
L. I. Tuliani
74

MATHEMATICAL PHYSICS
Solution of a classical problem of electrostatics and the subtraction procedure
D. Ya. Petrina
78
Inverse problem of linear multivelocity transport theory
D. A. Shulaya
82

PHYSICS
Cooling of electron gas of a metal at high temperature
Yu. V. Martynenko, Yu. N. Yavlinskii
88

CRYSTALLOGRAPHY
On the interconnection between ground- and additional phases. Binary diagrams formed by transition elements
N. L. Smirnova, È. M. Berzon, Yu. S. Konyaev, N. V. Belov
97
 
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