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1968, Volume 182, Number 1  


MATHEMATICS
The optimal regularization
V. Ya. Arsenin, V. V. Ivanov
9
The eigenfunction expansion of a Schrödinger operator with strongly singular potential
A. A. Arsen'ev
13
Approximate differentiation by means of Lagrange and Hermite interpolation polynomials
N. S. Baiguzov
16
Inductively reflexive locally convex spaces
I. A. Berezanskii
20
A study of the analytic properties of the resolvent kernel of a fourth order ordinary differential operator on a Riemann surface
M. M. Gekhtman, I. V. Stankevich
23
Semiregular and Hausdorff bicompact extensions
V. Zaitsev
27
An asymptotic solution of the problem of time-optimal control systmes which are close to linear ones
Yu. N. Kiselev
31
A cyclic two-dimensional compactum which contains no irreducibly cyclic two-dimensional subcompactum
V. Kuperberg
35
Extension of Ito’s theorem “On the independence of process jumps” to processes with independent increments defined on topological groups with a countable basis
V. M. Maksimov
38
A certain method for solving a stationary problem
G. I. Marchuk, K. E. Sarbasov
42
The existence of moments for the number of level crossings by a Gaussian stationary process
V. I. Piterbarg
46
The large intervals of a random Boolean function
G. S. Plesnevitch
49

MECHANICS
An investigation of gasdynamic stability of a detonation wave of arbitrary profile
S. K. Aslanov, V. N. Budzirovsky, K. I. Shchelkin
53

THEORY OF ELASTICITY
Algebra of Volterra operators and its application to problems of viscoelasticity
V. G. Gromov
56
A theory of bending of anisotropic three-layered elastic plates with fillers
Liviu Librescu
60

PHYSICS
The influence of heavy atoms on intercombinational transitions in porphyrine molecules
A. T. Gradyushko, V. A. Mashenkov, A. N. Sevchenko, K. N. Solov'ev, M. P. Tsvirko
64
Analysis of a spectral line whose shape is described by a composition of Gauss's and Lorenz's distributions
S. N. Dobryakov, Ya. S. Lebedev
68
Solution to a kinetic equation for semiconductors with a narrow conductance zone in a strong electric field
S. I. Kubarev, I. D. Mikhailov
71
The length of the relaxation zone of ionization behind the front of a strong shock wave in the air
S. A. Losev, V. A. Polyanskii
75
A comparative study of natural and synthesized ballases
I. V. Nikol'skaya, L. F. Vereshchagin, Yu. L. Orlov, E. M. Feklichev, Ya. A. Kalashnikov
77
Stepped structural transitions in the initial stages of the epitaxial growth of $\mathrm{PbTe}$ on $\mathrm{NaCl}$
L. S. Palatnik, V. M. Kosevich, L. P. Zozulya, V. K. Sorokin
80
Energy distribution in the continuous spectrum of Rayleigh light scattering in organic liquids faraway from the melting point
A. V. Sechkarev, P. T. Nikolaenko
84
Dispersion curves of $\mathrm{Nd}^{3+}$ and $\mathrm{Sm}^{3+}$ relative to $\mathrm{La}^{3+}$ in aqueous solutions of chlorides
R. M. Shuknrova
88

GEOPHYSICS
Least squares method used to restore the sea bottom relief at sites defying measurement
I. M. Belousov, A. I. Ioffe, V. P. Smilga
89
Propagation of decimetre radio waves in the atmosphere of Venus, as investigated by means of “Venus-4” space probe
M. A. Kolosov, O. I. Yakovlev, A. I. Efimov
93
 
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