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1958, Volume 118, Number 1  


MATHEMATICS
Zonal spherical functions and Laplace operators on some symmetric spaces
F. A. Berezin, F. I. Karpelevich
9
Homotopical classification of vector fields
V. G. Boltyanskii
13
Some properties of Chebyshev sets
N. V. Efimov, S. B. Stechkin
17
Asymptotic solution of Thomas–Fermi equation
T. F. Ivanov
20
On the oscillation of solutions of linear differential equations of the third and fourth order
V. A. Kondratiev
22
Asymptotic representation of solutions of second order linear differential equations
V. P. Konoplev
25
Convergence of Fourier series in systems of type $\{\varphi(nx)\}$ close to a trigonometric system
K. F. Malavko
29
On the problem of the axial bending of a rod of variable rigidity
Ya. D. Mamedov
33
Imbedding theorems for functions with partial derivatives, considered in different metrics
S. M. Nikol'skii
35
The Tricomi problem for the general equation of Lavrentiev–Bitzadze
S. P. Pul'kin
38
The behaviour of cycles not homologous to zero when a $n$-dimensional manifold is mapped into $n$-dimensional Euclidean space
R. L. Frum-Ketkov
42
On the inverse problem of the potential theory
Yu. A. Shashkin
45

PHYSICS
Investigation of the longitudinal and transverse galvanomagnetic effect in $n$-type germanium single crystals cut out along the main crystallographic axes
R. G. Annaev, A. Allanazarov
47
On the magnetic scattering of thermal neutrons near the Curie point of a ferromagnetic or antiferromagnetic
M. A. Krivoglaz
51
The scattering of sound waves in non-regular wave guides
A. D. Lapin
55
$\tau'$-Meson decay with the formation of an electron-positron pair
A. A. Nomofilov
59
The use of Zubarev's method of added variables in the statistical physics
A. Pavlikovsky, V. Shchuruvna
61
On the spin of the $\tau$-meson
G. I. Plebansky
65
Spontaneous division of $\mathrm{Th}^{232}$ and the stability of nucleons
G. N. Flerov, D. S. Klochkov, V. S. Skobkin, V. V. Terent'ev
69
New data on the orientation of birefringence in a flow of polymer solutions
È. V. Frisman
72

ELECTRICAL ENGINEERING
The dynamical characteristics of electric circuit elements
K. M. Polivanov
80

CRYSTALLOGRAPHY
The crystalline structure of astrakhanite
I. M. Rumanova
84

CHEMISTRY
Investigation of a metallic compound formed in iron – titanium alloys
R. B. Golubtsova
89
Dimerization of butyraldehyde at superhigh pressures
M. G. Gonikberg, B. S. Elianov
92
The alkylation of diphenyl by pseudobutylene in the presence of $\mathrm{BF}_3\cdot\mathrm{H}_3\mathrm{PO}_4$
S. V. Zavgorodnii, V. I. Sidel'nikova
96
The use of the isotopic method in studying the stereochemistry of replacement reactions of an olefine carbon atom
A. N. Nesmeyanov, O. A. Reutov, P. Knoll
99
A polarographic study of trivalent antimony complexes in sodium fluoride solutions
D. Pavlov, D. Lazarov
103
A study of the isotopic exchange of oxygen between heavy-oxygen water and some niobates and tantalates
V. I. Spitsyn, A. V. Lapitskii, R. I. Aistova, D. Nishanov, V. A. Pchelkin
107
The chemical composition of the Makhach-Kala oil
A. V. Topchiev, G. M. Egorova, G. A. Alieva, V. V. Bazilevich
110
Diacetylene chlorination. The synthesis of hexachlorobutadiene-1,3
M. F. Shostakovskii, È. S. Shapiro, L. I. Shmonina
114

PHYSICAL CHEMISTRY
Electron diffraction study of the chloroprene molecule
P. A. Akishin, L. V. Vilkov, V. M. Tatevskii
117
The influence of the association of organic acids on their adsorption from non-polar solvents
N. N. Gryazev
121
Interaction between ozone and methyl hydroperoxide
N. A. Kleimenov, A. B. Nalbandyan
125
The use of the isotopic method in studying the mechanism of electrolytic formation and decomposition of percarbonate, perborate and perphosphate
I. F. Franchuk, A. I. Brodskii
128
 
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