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1953, Volume 8, Issue 1(53)  


On some fundamental theorems of the theory of Lie groups
P. K. Rashevskii
3
Some questions of the theory of imbedding of Riemannian metrics in Euclidean spaces
N. N. Yanenko
21
On a work of M. V. Ostrogradskii
A. G. Sveshnikov
101
Speech of Steklov given at a celebration of the 100th anniversary of M. V. Ostrogradskii's birth
102
Note on the theory of heat
M. V. Ostrogradskii
103

Scientific notes and problems
Refraction of a congruence with real focal surfaces by means of an optical system
L. Ya. Berezina
111
On boundedness of solutions of regular systems of differential equations with small added terms
R. È. Vinograd
115
On a theorem of Hardy and Littlewood
M. B. Gagua
121
On the solution in rational numbers of the indeterminate equation $\sum^n_{k=1}A_kx_k^{m_k}=0$
G. Georgiev
127
On the indeterminate equation $\sum_{k=1}^mA_k\prod_{i=1}^nx_i^{a_ki}=A_0$
G. Georgiev
131
On the set of ordered Abelian groups
M. I. Zaitseva
135
On a property of broken lines in $n$-dimensional space
M. I. Kadets
139
On a method of N. I. Lobachevskii for finding integer solutions of linear homogeneous equations with integer coefficients
P. G. Kontorovich, D. I. Mil'man
145
A sufficient condition for univalency of the solution of an inverse boundary problem
I. S. Krasnovidova, V. S. Rogozhin
151
On invariant points in conformal mapping
S. G. Krein
155
On polynomial approximation of functions given in the whole plane
L. A. Lyusternik
161
On a class of algebraic systems
A. I. Mal'tsev
165

In the Moscow Mathematical Society
Meetings of the Moscow Mathematical Society
173

Mathematical Events in the USSR
Mathematical Competition in Astrakhan'
G. M. Finkel'shtein
177

Doctoral theses
On systems of elliptic differential equations and their general boundary problems
M. I. Vishik
181

Reviews and Bibliography
Encyclopedic of elementary mathematic
Opening speech of A. I. Markushevich
188
Volume One – “Arithmetic”. Volume Two – “Algebra” (review)
A. G. Kurosh
189
Volume Third – “Functions and limits” (review)
G. P. Tolstov
194
Volume Third – “Functions and limits” (review)
S. V. Fomin
196
Summary of the debate
200
The letter of V. L. Goncharov
203
Even on the “Curse of mathematical analysis” of A. F. Bermant (review)
B. A. Kordemskii
205
On some shortcomings of textbooks of Acad. N. N. Luzin “Differential calculus” and “Integral calculus” (review)
B. E. Margulis
208

Letters to the Editor
Concerning a theorem on boundedness of a singular integral operator
S. G. Mikhlin
213
Успехи математических наук
 
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