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1984, Volume 18, Issue 1  


An ergodic theorem for functions of normal operators
V. F. Gaposhkin
1
Index of a singular point of a gradient vector field
S. M. Gusein-Zade
7
A bound, in terms of its volume, for the number of vertices of a convex polyhedron when the vertices have integer coordinates
S. V. Konyagin, K. A. Sevastyanov
13
Conditions for similarity to unitary and self-adjoint operators
S. N. Naboko
16
Infinite-dimensional classical groups of finite $r$-rank: Description of representations and asymptotic theory
G. I. Olshanskii
28
A cocycle for the symplectic first chern class and the maslov index
V. G. Turaev
43
Classification of nonsingular surfaces of degree $4$ in $\mathbb{RP}^3$ with respect to rigid isotopies
V. M. Kharlamov
49

Brief communications
Extensions of $J$-isometric and $J$-symmetric operators
T. Ya. Azizov
57
Geometrical properties of the space $\varphi(X,Y)$
E. I. Berezhnoi
59
A bound for the rate of decrease of correlation in one-dimensional dynamical systems
M. L. Blank
61
The grothendieck property in lorentz sequence spaces
L. G. Burov
63
One-dimensional Schrödinger operator with accelerating potential
M. V. Buslaeva
65
Values at the positive integral points of the zeta-function of the hill operator with a finite-zone potential
M. Vodzitskii
67
Asymptotic spectrum of nonquasihomogeneous polynomials
S. V. Guzev
70
G. Szegö's limit theorem in the multidimensional case
R. Ya. Doktorskii
72
Polynomial covariants of the symmetric group and some of its analogs
A. A. Kirillov
74
Kostant function of the root system $A_n$
B. V. Lidskii
76
Serre duality for projective supermanifolds
O. V. Ogievetskii, I. B. Penkov
78
Representations of the Lie superalgebras $\mathfrak{gl}(n,m)$ and $Q(n)$ on the space of tensors
A. N. Sergeev
80
Invariant elements in a modular lattice
R. B. Stekol'shchik
82
Some criteria for the existence of divisors of a holomorphic operator function
D. I. Taragan
84
Invariant subspaces and properties of the spectra of plus-operators with a quasifocusing power in a Krein space
V. A. Khatskevich
86
Discrete groups of reflections in the complex ball
O. V. Schwarzman
88
Focal set of a surface with boundary, and caustics of groups generated by reflections $B_k$, $C_k$, and $F_4$
I. G. Shcherbak
90
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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