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1968, Volume 179, Number 4  

MATHEMATICS
On the problem of extending positive linear functionals
I. A. Bakhtin 		759
Lacunary systems
B. E. Veits 		762
The Dirichlet problem for multidimensional second order elliptic systems
V. S. Vinogradov 		766
The construction of extremal trigonometric polynomials of mixed type
E. V. Voronovskaya 		768
Axially symmetrical flows with a free boundary
A. Iglicov 		772
$\mathrm{SL}$-isomorphism of a lattice-ordered group
K. M. Kutyev 		775
The basis structure of a $B$-space and properties of the sphere which are invariant relative to isomorphisms
V. D. Milman 		779
A priori estimates of solutions of the Dirichlet problem for certain hypoelliptic equations
M. D. Ramazanov 		783

CYBERNETICS AND THE REGULATION THEORY
A problem of nonconvex programming
S. I. Zukhovitskii, R. A. Polyak, M. E. Primak 		786
The topological principles of self-correction
É. I. Nechiporuk 		790

AERODYNAMICS
Velocity field excited by a shock wave incident upon a stationary thin symmetric body
E. A. Krasil'shchikova 		794

FLUID MECHANICS
Boundary layer equation in the two-dimensional theory of ocean flows
A. G. Zarubin 		798

MATHEMATICAL PHYSICS
A first-order equation for the gravitational field
F. I. Fedorov 		802

PHYSICS
Investigations of the optical activity in the region of vibrational transitions
V. I. Burkov, V. A. Kizel', M. F. Kostenko, Z. B. Perekalina 		806
Relation between acoustic noize and erosion in hydrodynamic cavitation
V. I. Il'ichev, G. N. Kuznetsov 		809
Diffusion and transfer of excitation in collisions between metastable helium-3 atoms
P. L. Pakhomov, I. Ya. Fugol' 		813
Solution to equations of gravitation in a homogeneous utterly anisotropic medium
I. S. Shikin 		817

GEOPHYSICS
A contribution to the theory of biorthogonal expansions of the fields of meteorological elements
G. I. Marchuk 		832

CRYSTALLOGRAPHY
Deduction of three-dimensional similarity symmetry groups
A. M. Zamorzaev 		836
Oscillations of the crystallization front when growing silicon crystals by the method of Chokhralskii
Yu. M. Shashkov, G. M. Stepanova 		840
 
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