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1963, Volume 150, Number 5  


MATHEMATICS
Canonical transformations in the second quantization representation
F. A. Berezin
959
Extension of functions with preservation of differential-difference properties in $L_p$
O. V. Besov
963
Some remarks on the solutions of certain non-linear differential equations
Wang Sheng-wang
967
Analytic properties of the spectral function of the self-adjoint Sturm–Liouville operator
M. G. Gasymov
971
On inequalities between norms of partial derivatives of functions of several variables
V. P. Il'in
975
Polynomials of best (quadratic) approximation at a given system of points
M. D. Kalashnikov, G. P. Gubanov
978
Closed-graph theorems for uniform spaces
V. L. Levin, D. A. Raikov
981
Characteristics of boundary values of functions of $L^r_p(E_n)$ on hyperplanes
P. I. Lizorkin
984
Inversion formulas in the class of unbounded functions, arising in a second-order boundary-value problem
V. È. Lyantse
987
The first boundary-value problem for quasi-linear diffusion systems
V. N. Maslennikova
991
Congruent and asymptotic differentiability
G. Kh. Sindalovskii
995
Remainder terms in the problem of the distribution of values of two number-theoretic functions
M. M. Tyan
998
An estimate of the accuracy of approximate eigenvalues and vectors
V. T. Kharin
1001
An asymptotic solution of a system of linear differential equations containing a parameter
N. I. Shkil'
1005
The immersion problem for fields
A. V. Yakovlev
1009

THEORY OF ELASTICITY
On the general theory of three-layer shells with a big deflection
È. I. Grigolyuk, P. P. Chulkov
1012

PHYSICS
A generalized self-consistent field method and collective excitations in the superconductivity theory
E. R. Velibekov
1015
Propagation of light outside and inside a singular Schwarzschild sphere
I. D. Novikov, L. M. Ozernoi
1019
Raman spectra of some compounds when in the state of adsorption
E. V. Pershina, Sh. Sh. Raskin
1022
The measurement of the electric resistance of $\mathrm{PbTe}$, $\mathrm{CdTe}$, $\mathrm{Bi}_2\mathrm{Te}_3$ at pressures of up to 200,000 kG/cm$^2$
A. A. Semerchan, L. F. Vereshchagin, N. N. Kuzin, L. N. Drozdova
1026

CHEMISTRY
Substitution of ammonia with nitrite ions when optically active cis-$[\mathrm{Co}(\mathrm{NH}_3)_2\mathrm{en}_2](\mathrm{NO}_2)_3$ is heated in crystal state
A. V. Ablov, T. A. Mal'kova
1032
Nuclear magnetic resonance spectra of protons and the conformation of $\Delta^3$-carene oxide
B. A. Arbuzov, Yu. Yu. Samitov, Z. G. Isaeva
1036
The synthesis and properties of rhodium phthalocyanine
B. D. Berezin
1039
Certain transformation reactions of silicon- containing vinylacetylene glycols
I. M. Gverdtsiteli, T. P. Doksopulo
1043
The possibility of directing the course of the mineral formation process in the $\mathrm{CaO}$$\mathrm{Al}_2\mathrm{O}_3$$\mathrm{SiO}_2$ system
S. D. Okorokov, S. L. Golynko-Volfson, T. N. Yarkina
1047
The nature of the bond between carbon and alkali metal as investigated by means of electron absorption spectra
D. K. Polyakov, Yu. L. Spirin, A. R. Gantmakher, S. S. Medvedev
1051
Telomerization of aliyl compounds by silicon hydrides in the presence of dicyclohexylperoxydicarbonate
R. Kh. Freidlina, E. Ts. Chukovskaya
1055
Clasters in a strongly alloyed silicon
M. S. Chupakhin, G. G. Glavin, V. I. Fistul
1059

PHYSICAL CHEMISTRY
Certain features of the vibration spectra of conjugated dienes and the influence of the diene configuration on the interaction of double bonds
V. T. Aleksanyan, E. V. Sobolev
1062
Liquid phase oxidation of isobutylene in the presence of heterogeneous catalysts
È. A. Blyumberg, M. G. Bulygin, L. Ya. Margolis, N. M. Emanuel'
1066
Ghemiluminecence and the reaction mechanism in the catalyzed breakdown of ethylbenzene hydroperoxide
I. V. Zakharov, V. Ya. Shlyapintokh
1069
Autocatalysis in polymerisation reactions
V. A. Kabanov, V. A. Kargin
1073
The mechanism of radiolytic oxidation of divalent iron in aqueous sulphate solutions containing oxygen when the absorbed dose is high
A. K. Pikaev, P. Ya. Glazunov, Vikt. I. Spitsyn
1077
Diffusion coefficients in secondary pores of granulated ceolites
A. S. Ponomarev, D. P. Timofeev
1081
The influence of temperature on the resistance of polymeric materials to wear. The role of forced elasticity
S. B. Ratner
1084
Fixation of porosity of condensation networks from synthetic polymers
G. M. Sinitsyna, I. N. Vlodavets, P. A. Rebinder
1087
The kinetics of crystal nuclei formation in vitreous selenium
S. V. Starodubtsev, T. S. Pugacheva, V. M. Mikhaelian, V. M. Lenchenko
1091
The form of ferric ions in molten silicates
S. K. Chuchmarev, O. A. Esin, È. A. Pastukhov
1094

Поправки к статье “О малых возмущениях автоморфизмов тора” (ДАН, т. 144, № 4, 1962 г.)
V. I. Arnol'd, Ya. G. Sinai
 
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