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1994, Volume 28, Issue 2  


The Hyperbolicity of Phase Curves of a Generic Polynomial Vector Field in $\mathbb{C}^n$
A. A. Glutsyuk
1
The A'Campo Theorem on the Discriminant
G. G. Ilyuta
12
On the Irreducibility of Representations of Measurable Current Groups
R. S. Ismagilov
21
Thoma's Theorem and Representations of the Infinite Bisymmetric Group
A. Yu. Okounkov
31
Probabilistic Approach to the Analysis of Statistics for Convex Polygonal Lines
Ya. G. Sinai
41

Brief communications
On Quantum Methods in the Representation Theory of Reductive Lie Algebras
D. P. Zhelobenko
49
The Number of Components of the Complement of the Level Surface of a Harmonic Polynomial in Three Variables
V. N. Karpushkin
52
Multiparameter Spectral Problems and Commuting Extensions of Symmetric Operators
A. Yu. Konstantinov
55
On the Eigenvalues of the Perturbed Schrödinger Operator with Irrational Magnetic Flow
V. M. Manuilov
57
Hamiltonian Pairs Associated with Skew-Symmetric Killing Tensors on Spaces of Constant Curvature
O. I. Mokhov, E. V. Ferapontov
60
Singularities of Wave Fronts at the Boundary between Two Media
O. M. Myasnichenko
63
The Poincaré–Lyapunov–Liouville–Arnol'd Theorem
N. N. Nekhoroshev
67
Examples of Symmetric Differential Operators with Infinite Deficiency Indices on the Line
Yu. B. Orochko
69
Resolutions for $S_n$-Modules, Associated with Rim Hooks, and Combinatorial Applications
I. M. Pak, A. E. Postnikov
72
The Skew Field of Rational Functions on $GL_q(n,K)$
A. N. Panov
75
Three-Term Asymptotics of the Discrete Spectrum of the Dirichlet Problem for Domains with Infinite Perimeter
L. B. Parnovskii
78
Boundary Singularities and Symmetric Boundary Singularities
A. Szpirglas
79
On the Reducibility of a Linear Differential Equation with Odd Almost-Periodic Coefficients
D. A. Tarkhov
82
Description of the Space of Pseudocharacters Invariant with Respect to a Special Semigroup of Endomorphisms for a Free Semigroup of Rank Two
V. A. Faiziev
85
On Sequence Spaces Related to Independent Random Elements
A. N. Chuprunov
87
A Generalization of the Kuiper–Massey Theorem
M. Z. Shapiro
90
Maximal Solvable Subalgebras of Lie Superalgebras $\mathfrak{gl}(m|n)$ and $\mathfrak{sl}(m|n)$
I. M. Shchepochkina
92
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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