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1980, Volume 250, Number 1  


MATHEMATICS
On a formalization of extremal problems
V. D. Batukhtin, L. A. Mayboroda
11
Singularly perturbed linear equations in spaces of summable functions
Yu. P. Boglaev
15
The degree of summability of generalized derivatives of plane quasiconformal homeomorphisms
V. M. Gol'dstein
18
On quasidifferentiable functionals
V. F. Dem'yanov, A. M. Rubinov
21
On the behavior in the neighborhood of boundary points and theorems on removable sets for second order elliptic equations with continuous coefficients
A. I. Ibragimov
25
Some questions of spectral theory for the one-dimensional nonselfadjoint Schrödinger operator with potential in $L_1$
I. Jo
29
On the regularization of ill-posed problems with discontinuous solutions and an application of this methodology for the solution of some nonlinear equations
A. S. Leonov
31
Approximation of periodic Gaussian processes by trigonometric polynomials
O. V. Seleznev
35
Comonotone approximation of functions by polynomials
A. S. Shvedov
39
Estimates of quasipolynomials and rapidly converging methods of solving elliptic problems in domains with corners
S. L. Edelstein
42

CYBERNETICS AND THE REGULATION THEORY
Shift, convolution, and correlation function of discrete signals in an arbitrary basis
N. N. Aizenberg, O. T. Trofimliuk
47
Controllability of quantum objects
A. G. Butkovskiy, Yu. I. Samoilenko
51
On structures of linear stationary systems
B. N. Petrov, S. F. Babak, B. G. Il'yasov, I. Yu. Yusupov
55

GEOPHYSICS
A thermohydrodynamic model of a large glacial shield
M. Ya. Verbitskii, D. V. Chalikov
59
On the solution of an inverse problem of the gravimetric prospecting by the stabilization methods
V. L. Danilov, I. I. Shulman
62
Dilatancy effects at an underground explosion (a numerical investigation)
V. N. Nikolaevskii, A. N. Polyanichev, E. V. Sumin, N. G. Yakubovich
66
On the efficiency of different electromagnetic methods of geological explorations
B. S. Ènenstein, A. G. Tarkhnishvili
70

MATHEMATICAL PHYSICS
Divergence of series in the perturbation theory for the Stark effect and its summation
V. L. Eletskii, V. S. Popov
74

PHYSICS
Diffusion mechanisms of the absorptivity change in metals in the process of their laser heating in the air
V. I. Boiko, F. V. Bunkin, N. A. Kirichenko, B. S. Luk'yanchuk
78
Dimensional effects in $\mathrm{PbTe}$ single-crystal films
N. S. Lidorenko, L. A. Gudkov, Z. M. Dashevskii, V. A. Kotel'nikov, N. V. Kolomoets
82
A theorem of statistical sum of the Ising lattice with arbitrary spin
B. A. Men'
85

CRYSTALLOGRAPHY
Structure of oxoniobium and potassium pyrophosphate, $\mathrm{KNbOP}_2\mathrm{O}_7$
S. A. Linde, Yu. E. Gorbunova, A. V. Lavrov, I. V. Tananaev
96
Crystal and molecular structure of the square cluster of tetrakis [$\mu$-methoxo-$\mu$-acetato$(\mathrm{O},\mathrm{O}')$copper$(\mathrm{II})$]
Yu. A. Simonov, G. S. Matuzenko, M. M. Botoshanskii, M. A. Yampol'skaya
99
Some properties of vector systems responding to Patterson partial function
E. V. Chuprunov, T. N. Tarkhova, G. F. Suvorova, N. V. Belov
102
 
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