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1972, Volume 204, Number 1  


MATHEMATICS
Free topological groups and universal algebras
M. S. Burgin
9
Ranks of factors of the lower central series of a free polynilpotent group
Yu. M. Gorchakov, G. P. Egorychev
12
Uniqueness of the measure with maximal entropy for symbolic almost-Markov dynamic systems
B. M. Gurevich
15
On sequential invariant estimation of a shift parameter
I. A. Ibragimov, R. Z. Khas'minskii
18
On optimal algorithms for the calculation of singular integrals
V. V. Ivanov
21
The indecomposability of the Arcsine law
L. S. Kudina
25
Difference schemes in difference distribution spaces
N. N. Kuznetsov
27
On the index of Fredholm operators in a family of Banach spaces
P. A. Kuchment
31
On a theory of functions of bounded type
N. N. Meiman
34
The concept of norm of a linear operator in a locally convex space
A. V. Mironov, T. A. Sarymsakov
38
On convergence of semigroups
S. M. Ponomarev
42
The Perron algorithm for $p$-adic numbers and some of its ergodic properties
A. A. Ruban
45
On rate of convergence in the multidimensional central limit theorem for homogeneous Markov chains
Sh. K. Formanov
49
On spectral decompositions of a regular symmetric operator
A. V. Strauss
52

FLUID MECHANICS
On the stability of rotating fluid
È. L. Burshtein, L. S. Solov'ev
56

MATHEMATICAL PHYSICS
On equidistance of energy levels of Schrödinger one-dimensional equation
V. D. Krivchenkov, V. D. Kukin
60

PHYSICS
Plasma in screened volume
V. I. Gorgoraki
63
Spiking behaviour in single-mode laser
V. Dement'ev, T. N. Zubarev
66
Spectrum of induced radiation in a resonator with plane mirrors
Ch. K. Mukhtarov
70

GEOPHYSICS
On impulse seismic wave
Yu. A. Kolesnikov, L. N. Malinovskaya
80

CRYSTALLOGRAPHY
The composition of inclusions in diamond synthetic crystals as studied by the method of local analysis
G. N. Bezrukov, V. P. Butuzov, G. V. Khatelishvili, D. B. Chernov
84
On the nature of physical properties of intermediate type diamonds
E. V. Sobolev, V. I. Lisoivan
88
 
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