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1983, Volume 273, Number 1  


MATHEMATICS
Instability indices of unbounded operators
V. S. Belonosov
11
Integrable Euler equations on six-dimensional Lie algebras
O. I. Bogoyavlenskii
15
Testing of hypotheses in autoregressive schemes by Kolmogorov and $\omega^{2}$ tests
M. V. Boldin
19
Realization of boundary conditions in the solution of Navier–Stokes equations in “stream function-velocity vortex” variables
P. N. Vabishchevich
22
Superanalysis. Differential calculus
V. S. Vladimirov, I. V. Volovich
26
On the addition of lower indicators
V. B. Giner, L. R. Podoshev, M. L. Sodin
32
Singular parabolic equations and Markov processes
A. N. Kochubei
33
The maximum principle for second-order elliptic and parabolic systems
G. I. Kresin, V. G. Maz'ya
38
Moment sequences with representing measures free of mass in certain domains
I. E. Ovcharenko
41
Nikol'skij–Besov spaces connected with representations of Lie groups
I. Z. Pesenson
45
Approximate methods for solving, asymptotically in one and two additions per node, the Laplace difference equation
S. E. Romanova
49
A finite-to-one covering map criterion
R. S. Sadyrkhanov
54
Representation of numbers by ternary quadratic forms over maximal orders of algebraic number fields
Yu. G. Teterin
58
Linear differential operators and optimal quadrature formulas
M. A. Chahkiev
60

AERODYNAMICS
Computational models of the interaction of vortices with the penetrable boundary of a region of subsonic flow
A. T. Fedorchenko
66

FLUID MECHANICS
Wave propagation in a channel with an elastic bottom, filled with an ideal compressible liquid
A. Garadzhaev
71
The Reynolds number in a transition in a plane channel
M. A. Goldshtik, A. M. Lifschitz, V. N. Shtern
75

GEOPHYSICS
Nuclei of melt in a solid
V. L. Berdichevsky
80
On the Rayleigh hypothesis in the problem of sound scattering by a rough free surface
A. G. Voronovich
85
On the structure of upper mantle and on the nature of volcanism in the region of island arcs
Yu. F. Kopnichev
89

PHYSICS
Structure of the low-temperature luminescence spectra of uranyl compounds in solutions
V. N. Boikov, N. V. Kuleshov, A. N. Krasovskii
94
 
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