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1970, Volume 193, Number 4  


MATHEMATICS
Limit distributions of functionals of a semi-Markov process that are prescribed on a fixed set of states before the moment of the first exit
V. V. Anisimov
743
A structural representation of certain classes of harmonic and analytic functions
I. I. Bavrin
746
Descending sequences of measurable decompositions, and their applications
A. M. Vershik
748
Multiple regular bases in a Köthe space
M. M. Dragilev
752
The necessity of a frequency condition for the absolute stability of stationary systems in the critical case of a pair of pure imaginary roots
G. A. Leonov
756
The summability of positive solutions of elliptic equations of arbitrary order
T. G. Pletneva, S. D. Èidel'man
760
A uniform estimate of the number of representations of unity by a binary form of degree $n\ge3$
V. A. Tartakovskii
764
Hartogs' theorem for generalized analytic functions of several complex variables
V. Tutschke
765
The optimal sequential estimation of a shift parameter in the class of invariant procedures
A. I. Shalyt
767

CYBERNETICS AND THE REGULATION THEORY
On the dynamics of elementary nonlinear pulse systems containing a distributed section
A. S. Alekseev
770
Structure of control rules ensuring asymptotic stability of control systems with an unstable object
G. A. Stepanyantz, N. S. Tararoshchenko
774

MECHANICS
Limit equilibrium of reinforced shells on rigidplastic base
N. V. Akhvlediani
777
Crossing the zone of auto-oscillations of a rigid rotor rotating in sleeve bearings
A. S. Kel'zon, V. I. Yakovlev
780

FLUID MECHANICS
Viscous sublayer velocity profile as determined on the basis of the maximal stability principle
M. A. Goldshtik, V. A. Sapozhnikov, V. N. Shtern
784

PHYSICS
The influence of organic admixtures on the tunnel conductivity
V. A. Voloshin, A. A. Galkin, Yu. M. Ivanchenko, O. M. Ignat'ev, V. Yu. Tarenkov, A. O. Khrebtov
788
Investigation of ESR of $\mathrm{Dy}^{2+}$ ion in $\mathrm{CaF}_2$ in the short-wave part of the submillimeter range
G. A. Zvereva, N. A. Irisova, T. S. Mandel'shtam, A. M. Prokhorov
791
On surface breakdown
V. V. Rzhevskii, N. I. Andrienko, D. M. Migunov, Yu. I. Protasov
795

GEOPHYSICS
The start of convection in liquid near the density inversion temperature
A. S. Blokhin, N. S. Blokhina
805
A model of thermal energy accumulation and redistribution in atmospheric layer
S. V. Pshenay-Severin
808

CRYSTALLOGRAPHY
Isolation of the basic system from the vector one according to two multiplicity peak (Feodorov group $P1$)
È. A. Kuz'min, V. V. Ilyukhin, N. V. Belov
812
 
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