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1957, Volume 12, Issue 2(74)  


Structure of locally bicompact groups and Hilbert's fifth problem
V. M. Glushkov
3
Fundamental aspects of defect numbers, root numbers and indexes of linear operators
I. Ts. Gokhberg, M. G. Krein
43

Scientific notes and problems
On the representability of a function of two variables in the form $\chi[\phi(x)+\psi(y)]$
V. I. Arnol'd
119
On $\sigma$-lattices which are compact with respect to $(o)$-convergence
M. L. Berlinkov
123
On a problem of I. M. Gel'fand
M. S. Brodskii
129
Orthogonal systems of functions whose derivatives are also orthogonal
B. M. Gagaev
133
Lie algebras of locally bicompact groups
V. M. Glushkov
137
On boundedness of monotonic solutions of a system of linear differential equations
B. P. Demidovich
143
Solution of the bending equation for certain classes of surfaces
A. G. Dorfman
147
On completeness of systems of functions of the form $\{f(z+\alpha_n)\}$ and $\{f^{(n)}(z)\}$
Yu. A. Kaz'min
151
Further remarks about the problem of N. N. Luzin
A. D. Myshkis
155
On a case of conformal mapping of a quadrilateral bounded by arcs of circles
È. D. Pergamentseva
159
Metric classification of measurable functions
V. A. Rokhlin
169
Remarks on trigonometric polynomials and Fourier–Stieltjes series
A. F. Timan
175
A problem
A. A. Kharkevich
184
Homogeneous linear inequalities
S. N. Chernikov
185
Maximum and minimum values of a linear function on a polyhedron
N. V. Chernikova
193

Methodical notes
On teaching mathematics in pedagogical institutes
N. Ya. Vilenkin, I. M. Yaglom
199

In the Moscow Mathematical Society
Meetings of the Moscow Mathematical Society
211
Section of Higher Technical Schools in the Moscow Mathematical Society
V. P. Kalashnikov
235

Mathematical Events in the USSR and abroad
Boris Yakovlevich Levin (photo)
Boris Yakovlevich Levin (on the fiftieth anniversary of his birth)
N. I. Akhiezer, N. V. Efimov
237
Election of S. N. Bernstein as a foreign member of the French Academy of Sciences
Austrian Mathematical Congress
P. S. Aleksandrov
243
Fourth Congress of the Romanian Mathematicians
S. B. Stechkin
244
Session of Bulgarian Mathematicians
A. V. Bitsadze, A. G. Postnikov
246

Reviews and Bibliography
T. N. Kary-Niyazov, Analytic geometry for pedagogical institutes (review)
Kh. A. Mustafin, B. A. Rozenfel'd, N. P. Romanov, M. A. Sabirov
247
I. Sneddon, Fourier transforms (review)
A. I. Lurie, Ya. S. Uflyand
252
Успехи математических наук
 
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