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1984, Volume 279, Number 1  


MATHEMATICS
Estimation of the rate of convergence in the infinite-dimensional central limit theorem for probabilities of hitting a parallelepiped
A. V. Asriev, V. I. Rotar'
11
Algebraic varieties that are symmetric in Borel's sense
D. N. Akhiezer
13
Arbitration solutions with an ideal point, generated by systems of functions
L. M. Brègman, N. I. Naumova
16
Finite-gap two-dimensional potential Schrödinger operators. Explicit formulas and evolution equations
A. P. Veselov, S. P. Novikov
20
Iterations of entire functions
A. È. Eremenko, M. Yu. Lyubich
25
Representation of entire functions by series of exponentials
M. S. Ivanov
27
Riesz potentials and operators of Riemann-Liouville type in a half space
B. S. Rubin
30
A method of constructing hybrid difference schemes for hyperbolic systems
A. Yu. Semenov
34
Holomorphic functions and mappings in the contour-solid problem
P. M. Tamrazov
38
Mappings into a circle with a minimal number of critical points and multidimensional knots
M. Sh. Farber
43
Existence and properties of solutions of ordinary differential equations and differential inclusions
V. V. Filippov
47

FLUID MECHANICS
Nonuniqueness of the sequence of transitions to the turbulence in rotating layers
Yu. N. Belyaev, A. A. Monakhov, S. A. Shcherbakov, I. M. Yavorskaya
51
Investigation of the problem of steady motion of two fluids in a vessel
I. B. Erunova
55

MATHEMATICAL PHYSICS
Summation of divergent series of perturbation theory for screened Coulomb potentials
V. M. Vainberg, V. S. Popov
59
A class of exact solutions in magnetohydrodynamics of an ideal fluid
M. M. Vishik
64
Solvability of certain inverse problems of focusing laser radiation
A. V. Goncharsky, I. N. Sisakyan, V. V. Stepanov
68
A new problem of mathematical physics which is connected with the coherent phase transformation problem
M. A. Grinfel'd
72
The second boundary value problem of the plane theory of elasticity for a wedge
V. A. Dobrushkin
77
A computational algorithm for the calculation of gas-dynamic flows
T. G. Elizarova, B. N. Chetverushkin
80
A pseudodifferential Schrödinger equation
K. L. Samarov
83

PHYSICS
Absorption of $10{.}6\mu$m laser light in electron-hole condensate in germanium
V. P. Kalinushkin, A. A. Manenkov, G. N. Mikhailova, S. Yu Sokolov
88
On spectral properties of mobility-gap states for negative U-electron pairs in amorphous semiconductors
M. I. Klinger
91
On the exclusion of zero-modes in the hydrodynamic turbulence
S. S. Moiseev, A. V. Tour, V. V. Yanovskii
96
Instability of tokamak periphery plasma
M. Z. Tokar'
99
 
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