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1976, Volume 227, Number 1  


MATHEMATICS
Unconditionally convergent spectral expansions and nonclassical interpolation
V. I. Vasyunin
11
On the differentiability of functions in a Sobolev space
V. A. Vinokurov
15
A local criterion for regularity of a system of points
B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, R. V. Galiulin
19
Local Mal'cev theorems and Kuros–Cernikov classes of groups
Sh. S. Kemkhadze
22
Fractional powers of elliptic operators and approximation-moment scales
L. V. Koledov
26
Necessary optimality conditions for an optimal problem with operator criterion and constraints
Yu. P. Krivenkov
29
Uniform tests of randomness
L. A. Levin
33
On a class of groups with solvable problem of automata equivalence
A. A. Letichevskii, L. B. Smikun
36
Evolution equations and inhomogeneous semigroups of operators in a Banach space
Yu. V. Plyushchev
39
Algebraic properties of distributions for Chung functionals of homogeneous Markov chains with a countable set of states
M. A. Fedotkin
43
Abstract Nemyckii operators are locally defined operators
I. V. Shragin
47
Differential analysers of shock waves
N. N. Yanenko, E. V. Vorozhtsov, V. M. Fomin
50

CYBERNETICS AND THE REGULATION THEORY
The number of switchings that are necessary for the unblocking of a three-step commutator
M. I. Kratko
54

AERODYNAMICS
Three-dimensional steady gas flows with straight level lines in the presence of the Bernoulli integral
E. N. Zubov
57
Diatomic gas flow around a sphere based on kinetic equations
I. N. Larina, V. A. Rykov
60

FLUID MECHANICS
On the pattern of cavitation bubble collapse near the wall and formation of cumulative jet
O. V. Voinov, V. V. Voinov
63
Approximate theory of wall turbulence
M. A. Goldshtik, V. N. Shtern
67

THEORY OF ELASTICITY
Some general representations of the solution of the dynamic equations of the theory of elasticity
A. S. Silbergleit, I. N. Zlatina
71

PHYSICS
Spectral and generative properties of $(\mathrm{Li}-\mathrm{Nd})$-phosphatic glass
Yu. K. Voronko, B. I. Denker, A. A. Zlenko, A. Ya. Karasik, Yu. S. Kuz'minov, G. V. Maksimova, V. V. Osiko, A. M. Prokhorov, V. A. Sychugov, G. P. Shipulo, I. A. Shcherbakov
75
Orthometric form of monadic formalism and its relation to chronometric and kinemetric invariants
A. L. Zel'manov
78

GEOPHYSICS
On anomalous energy flows of magnetotelluric field from the Earth
Yu. B. Shaub, V. R. Kopylkov, S. S. Starzhinskii, N. N. Barinov
87
 
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