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1978, Volume 12, Issue 1  


Index of a singular point of a vector field, the Petrovskii–Oleinik inequality, and mixed hodge structures
V. I. Arnol'd
1
Best linear and nonlinear approximations for smooth functions
B. E. Klots
15
Equations of long waves with a free surface. II. Hamiltonian structure and higher equations
B. A. Kupershmidt, Yu. I. Manin
25
Approximations by isometries and V. I. Matsaev's hypothesis for absolute contractions of the space $L^p$
V. V. Peller
38
Newton polyhedra and the genus of complete intersections
A. G. Khovanskii
51

Brief communications
The classical limit in Weyl quantization
M. A. Antonets
62
The structure of Lie superalgebras with semisimple even part
F. A. Berezin, V. S. Retakh
64
Maximum functions of a family of functions depending on parameters
L. N. Bryzgalova
66
Resolvent comparability of boundary problems for an operator Sturm–Liouville equation
M. L. Gorbachuk, V. A. Kutovoi
68
Some remarks in connection with Gel'fand's theorems on the group of invertible elements of a Banach algebra
E. A. Gorin
70
A multidimensional variational problem in symmetric spaces
Dào Trong Thi
72
Projection methods for solving two-dimensional singular equations on a torus
A. V. Kozak, I. B. Simonenko
74
Rational solutions of the Kadomtsev–Petviashvili equation and integrable systems of $N$ particles on a line
I. M. Krichever
76
Pseudodifferential operators in spaces of distributions with exponential behavior at infinity
Ya. A. Lutsky, V. S. Rabinovich
79
$RN$-sets in Banach spaces
O. I. Reinov
80
Examples of commutative rings of differential operators
V. V. Sokolov
82
Jordan form of coxeter transformations and applications to representations of finite graphs
V. F. Subbotin, R. B. Stekol'shchik
84
Isotopic types of nonsingular surfaces of fourth degree in $\mathbb{RP}^3$
V. M. Kharlamov
86
An application of the contraction mapping principle in the theory of operators in an indefinite metric space
V. A. Khatskevich
88
Weak limit points of Feynman integral products
I. D. Chueshov
90
Invertibility of multipliers and the spectrum of an operator in spaces with different norms
I. Ya. Shneiberg
92
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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