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1983, Volume 273, Number 4  


MATHEMATICS
Incomplete hyperbolic manifolds and local finiteness of space tessellation with polyhedra
B. N. Apanasov
777
Analytic invariants of a differential equation
A. D. Bruno
781
$S$-algebras and Verma modules over reductive Lie algebras
D. P. Zhelobenko
785
Necessary and sufficient conditions for being a basis in $L_{p}$ and equiconvergence with a trigonometric series of spectral expansions and expansions in systems of exponentials
V. A. Il'in
789
Reducibility via general recursive operators
M. I. Kanovich
793
On a characteristic of minimizing sequences for the Signorini problem
A. A. Kaplan, R. V. Namm
797
Continuous utility theorem for closed preorders on a metrizable $\sigma$-compact space
V. L. Levin
800
On the Cauchy problem for the Whitham equation
P. I. Naumkin, I. A. Shishmarev
804
Sharp estimates for regular solutions of the one-dimensional Schrödinger equation with a spectral parameter
V. V. Tikhomirov
807

CYBERNETICS AND THE REGULATION THEORY
Optimal simultaneous estimation and identification in discrete linear systems
I. N. Beloglazov
811
$K$-systems
V. E. Kuznetsov
815

AERODYNAMICS
The flow of ideal gas into a vacuum
S. P. Bautin, S. L. Deryabin
817

FLUID MECHANICS
Separated flow past bodies with fixed separation positions
O. M. Belotserkovskii, S. M. Belotserkovskii, Yu. M. Davydov, M. I. Nisht
821
Central explosion of a rotating gravitating body
A. N. Golubyatnikov, T. I. Chilachava
825

GEOPHYSICS
On the limits of applicability of Kirchhoff approximation in problems of sound scattering by a rough free surface
A. G. Voronovich
830
On the directed seismic radiation from cylindrical cavities
Zh. F. Zinchenko
834
Global interaction between oceanic and atmospheric gravitational tides
B. A. Kagan, N. V. Shkutova
836
Discontinuous change of generation mode of microstructural internal waves
Yu. B. Shaub
841

MATHEMATICAL PHYSICS
On the theory of propagation of waves of finite amplitude in elastic dissipative media
S. M. Ponomarev
845

PHYSICS
Comparative analysis of radiation at the channeling and in micro- and macro undulators
L. A. Gevorgyan, N. A. Korkhmazyan
849
Investigation of a gas discharge arc plasma inside a hollow cathode
M. F. Zhukov, M. Yu. Dokukin, N. P. Kozlov, A. Yu. Pavlov, V. I. Khvesyuk
852
Recognition of the natural formations by their color and colority
L. I. Kiselevskii, A. A. Kovalev, V. E. Pluta
854
On the possibility of quasi-channelled regime of wave bundle propagation in an inhomogeneous opaque medium
S. S. Moiseev, V. V. Mukhin, V. E. Novikov, R. Z. Sagdeev
857
Solving the problem of transfer in anisolated part of the volume from the known solution for the total volume
O. V. Pikichyan
861

CRYSTALLOGRAPHY
Twinning and the space group of symmetry of antiferroelectric $\mathrm{PbCd}_{0,5}\mathrm{W}_{0,5}\mathrm{O}_3$
E. S. Gagarina, G. A. Kiosse, M. F. Kupriyanov, E. S. Tsikhotskii, T. I. Malinovskii
874
 
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