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1970, Volume 191, Number 1  


MATHEMATICS
The approximate determination of fixed points of continuous mappings
B. A. Vertgeim
9
The symbols of one-dimensional singular integral operators on an open contour
I. Ts. Gokhberg, N. Ya. Krupnik
12
Singular integral opeators in a Hölder space with weight
R. V. Duduchava
16
Exact conditions for the localization and convergence of Fourier series in fundamental function systems of the Beltrami operator
V. A. Il'in
20
The stability of relaxation processes
Yu. I. Lyubich, G. D. Maistrovskii
22
Homeomorphism of convex surfaces preserving the turning variations of curves
A. V. Pogorelov
25
The normal Euler numbers of the projective plane and Klein bottle in four-dimensional Euclidean space
V. A. Rokhlin
27
A gamma-correlation process and its properties
I. O. Sarmanov
30
A justification of the method of averaging for abstract parabolic equations
I. B. Simonenko
33
The number of irredundant tests, and measures of informativeness of a column for almost all binary tables
V. A. Slepyan
35
Differential games in mixed strategies
È. R. Smol'yakov
39

CYBERNETICS AND THE REGULATION THEORY
Bifurcation theory of point transformations
È. V. Gaushus
43

ASTRONOMY
Calculation of stellar opacity taking into account the light absorption in spectral lines
A. F. Nikiforov, V. B. Uvarov
47

MATHEMATICAL PHYSICS
Eigenfunction expansion of the nonselfadjoint Schrödinger operator
A. G. Ramm
50

PHYSICS
On the character of chemical bonds in vanadyl complex for some oxidic glasses according to the data on electron-spin resonance and electron absorption spectra
L. D. Bogomolova, T. F. Dolgolenko, V. N. Lazukin, E. N. Nozdrina, N. V. Petrovykh
54
Taking account of the interaction in constructing a nonequilibrium density matrix
L. L. Buishvili, M. D. Zviadadze
58
Lifetimes of excited nuclear states arising in $\alpha$-decay of $\mathrm{Ra}^{223}$ and $\mathrm{Bi}^{211}$
A. P. Komar, A. A. Vorob'ev, Yu. K. Zalite, G. A. Korolev
61
Hydrogen atom and conformal group
Yu. B. Rumer
64
Experimental detection of electrical gyrotropy in $\mathrm{SrMoO}_4$ crystals
Yu. V. Shaldin
67
Electric current oscillations in $\beta$-carotene films
Yu. S. Shumov, G. P. Mikheeva, G. G. Komissarov
70

CRYSTALLOGRAPHY
On the solubility of neodimium-containing yttrium aluminatesand gallates in $\mathrm{PbF}_2\cdot1,17\mathrm{PbO}\cdot0,35\mathrm{B}_2\mathrm{O}_3$ melts
R. V. Bakradze, G. P. Kuznetsova, L. A. Sadovnikova
82
New series of $\mathrm{Te}^{6+}$-containing garnets
B. V. Mill'
86
 
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