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1986, Volume 286, Number 1  


MATHEMATICS
Proper holomorphic mappings from the ball to the polydisk
A. B. Aleksandrov
11
Analytic sheaves: finite type and computability
V. D. Golovin
15
Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem
P. G. Grinevich, R. G. Novikov
19
Estimates in integral norms of derivatives of harmonic polynomials and spherical polynomials
V. A. Ivanov, P. I. Lizorkin
23
Well-posedness classes of boundary value problems of conjugation of analytic functions with infinite index
V. N. Monakhov, E. V. Semenko
27
Description of a class of analytic functionals
V. V. Napalkov
31
Estimates for the convolution operator in spaces with weighted norms
B. A. Plamenevskii
35
Poisson brackets of differential-geometric type
G. V. Potëmin
39
Expansion of functions in a series of a complete integral residue and the solution of mixed problems
M. L. Rasulov
42
Mixed boundary value problems for a system of equations
V. K. Romanko
47
Illumination through convex bodies
P. S. Soltan, V. P. Soltan
50
The structure of integrable $C$-fields on infinitely prolonged equations
V. N. Chetverikov
54
A difference scheme for an elliptic equation with a small parameter multiplying the highest derivatives
G. I. Shishkin
57
Best uniform approximation of almost everywhere bounded complex-valued functions
G. Ya. Yarakhmedov
62

CYBERNETICS AND THE REGULATION THEORY
On the problem of automatization of programming
V. B. Betelin
66

FLUID MECHANICS
Enhancement of shock waves in an aqueous suspension of kaolin particles
R. I. Nigmatulin, V. A. Pyzh
70

GEOPHYSICS
On the magnetic field generation conditions
V. A. Dubrovskii
74
Regularities of temporal changes of some geophysical fields
I. L. Nersesov, O. N. Galaganov, V. I. Zhuravlev, G. A. Popandopulo, V. P. Perederin, B. G. Rulev, L. I. Bokanenko
77

MATHEMATICAL PHYSICS
Quarks in a Yang–Mills external plane-wave field
L. F. Babichev, A. F. Radyuk, F. I. Fedorov
80
The point spectrum of one-dimensionally periodic holographic lattices
Yu. K. Sirenko, V. P. Shestopalov
85

PHYSICS
On the mechanism of polymer destruction under the UV-and $\gamma$ radiation: effect of low-molecular additives due to the vibrational cross-relaxation
K. M. Dyumaev, A. A. Manenkov, A. P. Maslyukov, G. A. Matyushin, V. S. Nechitailo, A. M. Prokhorov, A. S. Belichenko
89
Non standard interpretation of the quantum electrodynamics and the theory of renormalizations
O. Yu. Dinariev, A. B. Mosolov
93
A sound fiedl of the radiating area of finite dimensions, moving at an alternating sibsonic speed
V. I. Il'ichev, Yu. V. Khokha
95
Exact solution of the Schrödinger equation with complex oscillatory-Coulomb potential
V. I. Petrosyan, V. N. Slonov, Yu. V. Gulyaev
99
 
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