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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

1987, Number 4


Mathematics
Everywhere divergent Fourier series of functions of the class $L(\ln^{+}\ln^{+}L)^{1-\varepsilon}$ in multiplicative systems
V. V. Tarkaev
3
The impossibility of reconstructing a continuous function from a sequence of partial sums of a Fourier series with lacunary numbers
T. Koval'ski
7
Linear widths of classes of periodic functions of several variables
È. M. Galeev
13
Asymptotic behavior of the eigenvalues and eigenfunctions of boundary value problems in a domain with a small opening
Nguen Min' Chi
17
Free topological groups with no small subgroups, and Graev metrics
O. V. Sipacheva, V. V. Uspenskii
21
The intersection of quadrics passing through a canonical curve and chord
L. V. Katzarkov
24
Dihedral homology and cohomology
R. L. Krasauskas, S. V. Lapin, Yu. P. Solov'ev
28
Representations of Lie algebras of derivations of commutative rings
S. M. Skryabin
32
The attractor of a singularly perturbed parabolic equation
M. Yu. Skvortsov
35
The unattainability of central indices in a class of regular systems
G. V. Osinnikova, I. N. Sergeev
39

Mechanics
Burning of a coal particle of ellipsoidal form in high-temperature medium
A. M. Golovin, A. I. Pashkov
45
Mass and heat exchange of spherical particle and overrunning flow in parallel magnetic field at small Pecle and Reynolds and large Hartman numbers
T. A. Ratnikova
47
On a variational principle of statistical mechanics
V. L. Berdichevsky
50

Short notes
Imbedding in bicompact homogeneous spaces
A. V. Korovin
56
The topological normal forms of metamorphoses of caustics of the series $\mathbf{D}_\mu$
V. I. Bakhtin
58
An analogue of the Névai test for Fourier–Walsh series
V. A. Skvortsov
61
Structural stability of the synthesis of optimal trajectories in the Fuller problem
V. F. Borisov
64
Subspaces of function spaces
D. P. Baturov
66
Semisimple maximal subalgebras of Lie $p$-algebras of classical type
O. K. Ten
69
The structure of monolithic spaces
A. V. Arkhangel'skii, B. È. Shapirovskii
72
$C^*$-algebras $A$ over which the Hilbert module $l_2(A)$ is self-dual
O. G. Filippov
74
The complexity of realization of Boolean functions by schemes in a basis of median and implication
A. B. Ugol'nikov
76
Stress-strained state of an elastic transversely isotropic cylindrical shell in temperature loading
I. V. Panferov
78
Investigation of small amplitude hydromagnetic perturbations of anisotropic plasma
M. R. Barkhudarov, V. Yu. Zakharov
82
An experimental investigation of stability of a liquid-filled body, rotating on a string
I. G. Zhestkov, V. P. Kulikov
86
New integrable cases of the gyrostat motion
Kh. M. Yahia
88
Unsteady creep of cylindrical shell and circular ring with initial bending under the action of the pressure $q$
I. I. Pospelova
90
An isomorphism of trinomial relations of plasticity theory, and conditions for the solvability of boundary value problems
V. A. Peleshko
93

Scientifi research seminar ξο algebra
97


© Steklov Math. Inst. of RAS, 2025