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1970, Volume 190, Number 4  


MATHEMATICS
The index of a pseudodifferential operator with a finite group of shifts
A. B. Antonevich
751
Spaces that can be defined by variation of local approximations
Yu. A. Brudnyi
753
The partial orderability of rings and algebras
A. I. Veksler
756
A certain problem of optimal stabilization
V. I. Zubov
760
Decomposition of a tensor product of irreducible maximally degenerate representations of the group of complex matrices of order $n$ with determinant $1$
È. V. Kissin
763
Proof of Fermatís last theorem for all prime exponents less than 5500
V. V. Kobelev
767
Group algebras of analytic functionals, and their representations
G. L. Litvinov
769
Quasianalyticity criterion for abstract operators
Yu. I. Lyubich, V. A. Tkachenko
772
The covering of $A$-sets, and multiple separability
A. A. Lyapunov
775
Construction of a correct guiding function for a system of differential equations
È. Muhamadiev
777
Spectral synthesis for the shift operator, and zeros in certain classes of analytic functions that are smooth up to the boundary
N. K. Nikol'skii
780
Theorems on traces and extensions of functions from surfaces
M. D. Ramazanov
784
Symmetric domains and Jordan algebras
V. I. Semyanistyi
788
Certain cases of the realization of elements of homotopy groups of homogeneous spaces by totally geodesic spheres
A. T. Fomenko
792
The method of limit transformations in the problem of the existence of Poisson stable solutions of differential equations
B. A. Shcherbakov
796

THEORY OF ELASTICITY
Method of solving certain boundary-value problems of the stability theory of cylindrical shells
L. I. Shkutin
800

ASTRONOMY
Evaluation of the structure of solar corona from the rocket experiment made on February 15, 1961
A. A. Dmitriev, R. G. Indzhgia, A. E. Mikirov, S. M. Poloskov
803

PHYSICS
Invariance groups and differentiation in the matrix space theory
M. V. Gorbatenko, Yu. A. Romanov
805
Carbon dioxide laser in the regime of single impulses
A. V. Eletskii, B. M. Smirnov
809
Ultrasonic oscillations of radiation intensity of “moving medium” lasers
B. L. Livshits, A. T. Trusunov
813
Some non-stationary problems of finite-amplitude wave theory in dissipative mediums
O. V. Rudenko, S. I. Soluyan
815
Generalization of Hartree–Fock's method for the case of nonperfect Bose gas
Yu. A. Tserkovnikov
819

GEOPHYSICS
Indicatrices of light scattering by sea water
V. I. Voitov, O. V. Kopelevich
827

CRYSTALLOGRAPHY
Crystalline structure of the $\mathrm{Y}=\mathrm{Ca}_6[\mathrm{Si}_2\mathrm{O}_7][\mathrm{SiO}_4](\mathrm{OH})_2$ phase
R. M. Ganiev, V. V. Ilyukhin, N. V. Belov
831
The relation between the shape of crystals and thermodynamic conditions during their growth
V. I. Trubin
835
 
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