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1975, Volume 221, Number 4  


MATHEMATICS
Linear functionals on the $n$-dimensional unit cube
L. G. Babat
761
On boundary value problems for a second-order differential equation of hyperbolic type in a Hilbert space
L. I. Vainerman, M. L. Gorbachuk
763
On the linear groups associated to periodic automorphisms of semisimple algebraic groups
È. B. Vinberg
767
A theorem on the distribution of values of the Riemann zeta-function
S. M. Voronin
771
On the isomorphism and quasiequivalence of bases for Köthe power spaces
V. P. Zakharyuta
772
Conditions for the correctness in Gevrey classes of the Cauchy problem for nonstrictly hyperbolic operators
V. Ya. Ivrii
775
Limit behavior of the number of solutions of a system of random linear equations over a finite field or a finite ring
I. N. Kovalenko, A. A. Levitskaya
778
On an integral equation of the first kind and an inverse problem for a parabolic equation
M. M. Lavrent'ev, M. V. Klibanov
782
On Harder's conjecture
V. P. Platonov, V. I. Yanchevskii
784
On an inverse problem of potential theory
A. Kh. Khaidarov
788
On a constructive characterization of analytic continuous functions in close-to-convex domains
N. A. Shirokov
790

CYBERNETICS AND THE REGULATION THEORY
Arithmetic $(n,A)$ codes over an arbitrary base
I. M. Boyarinov, G. A. Kabatiansky
794
Methods of optimizing a class of dynamic systems
M. V. Meerov, Ya. M. Bershchanskii
798

PHYSICS
Principles of the ball lightning relaxation theory
B. N. Kozlov
802
Theory of collective motions in a nucleus taking account of nuclear substance vortex motion
V. G. Nevzglyadov
805
A two-dimensional model of relativistic quantum mechanics for a system of $N$ paticles with potential interaction
S. N. Sokolov
809
Energy losses of a relativistic particle near the interface of two media
V. A. Chechin
813

GEOPHYSICS
Paleointensity of the Earth magnetic field in Lower-Triassic period
A. S. Bol'shakov, G. M. Solodovnikov
828
Photographing of sunrise or sunset from the space
K. Ya. Kondrat'ev, A. A. Buznikov, A. I. Lazarev, E. V. Khrunov
832
On the interhemispheric heat machine in the Earth atmosphere
N. S. Sidorenkov
835
On the distribution of electron-ion gas in the $F$-region of ionosphere
A. G. Hantadze
839

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Na}_2\mathrm{LiFe}[\mathrm{Si}_2\mathrm{O}_5]_3$
P. A. Sandomirskii, M. A. Simonov, N. V. Belov
842
 
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