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1972, Volume 6, Issue 1  


On a class of Volterra equations of the first kind
A. L. Bukhgeim
1
The actions of infinite-dimensional Lie algebras
I. M. Gel'fand, D. A. Kazhdan, D. B. Fuchs
10
On the automorphisms of Banach algebras
R. N. Levi
16
Positively reproducing and positively normal operators
E. A. Lifshits
19
Cohomologies of the Lie algebra of vector fields with coefficients in a trivial unitary representation
M. V. Losik
24
Compact operators relative to a von Neumann algebra
V. I. Ovchinnikov
37
Ergodic properties of a gas of one-dimensional hard rods with an infinite number of degrees of freedom
Ya. G. Sinai
41
Canonical form and stationary subalgebras of points of general position for simple linear Lie groups
A. G. Élashvili
51

Brief communications
Application of a modified Newton–Kantorovich method to the approximate solution of a system of operator equations
Ya. Asrorov, Ya. D. Mamedov
63
Conjugacy of local $C^\infty$ mappings
G. R. Belitskii
66
Characteristic classes of foliations
J. H. Bernstein, B. I. Rozenfel'd
68
Spectral properties of modular operators
V. Ya. Golodets
70
Canonical factorization of continuous operator functions relative to the circle
I. Ts. Gokhberg, J. Laiterer
73
Elliptic boundary-value problems for pseudodifferential complexes
A. S. Dynin
75
Algebraic calculation of the index of a singular point of a vector field
V. M. Zakalyukin
77
On unitary representations of the group of diffeomorphisms of a compact manifold
R. S. Ismagilov
79
Algebraic functions with universal discriminant manifolds
V. Ya. Lin
81
The Laplace transform on Lie groups
G. L. Litvinov
83
Criteria for analytic sets to be algebraic
A. S. Sadullaev
85
Polynomial approximation of symmetric functions in a Hilbert space
S. M. Semenov
87
Spectral theory of representations of locally compact Abelian groups
G. M. Feldman
89
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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