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1963, Volume 18, Issue 5(113)  


The work of A. N. Kolmogorov in the theory of probability
B. V. Gnedenko
Russian Mathematical Surveys, 1963, Volume 18, Issue 5, Pages 1–7
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004129
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 5–11
1–7
Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian
V. I. Arnol'd
Russian Mathematical Surveys, 1963, Volume 18, Issue 5, Pages 9–36
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004130
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 13–40
9–36
Some remarks on the spectral properties of ergodic dynamical systems
Ya. G. Sinai
Russian Mathematical Surveys, 1963, Volume 18, Issue 5, Pages 37–50
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004131
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 41–54
37–50
Kolmogorov's work on $\varepsilon$-entropy of functional classes and the superposition of functions
V. M. Tikhomirov
Russian Mathematical Surveys, 1963, Volume 18, Issue 5, Pages 51–87
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004132
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 55–92
51–87
On the laws of small-scale turbulent flow of liquids and gases
A. S. Monin, A. M. Yaglom
Russian Mathematical Surveys, 1963, Volume 18, Issue 5, Pages 89–109
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004133
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 93–114
89–109
A. N. Kolmogorov as a teacher
P. S. Aleksandrov, B. V. Gnedenko
Russian Mathematical Surveys, 1963, Volume 18, Issue 5, Pages 111–115
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004134
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 115–120
111–115
Bibliography of papers of A. N. Kolmogorov published in 1953–1962
Russian Mathematical Surveys, 1963, Volume 18, Issue 5, Pages 117–118
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004135
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 121–123
117–118



Papers published in the Russian version only
Andrei Nikolaevich Kolmogorov (photo)
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113)
Issue dedicate to Andrei Nikolaevich Kolmogorov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Page 3
3

Scientific notes and problems
Projection spectra and canonical coverings
P. S. Aleksandrov, V. I. Ponomarev
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 125–132
125–132
Topological similitude of automorphisms and translations of compact commutative groups
D. Z. Arov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 133–138
133–138
Some metrization theorems
A. V. Arkhangel'skii
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 139–145
139–145
An account of the theory of envelopes (a methodological note)
T. B. Belyaeva, V. A. Zalgaller
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 147–149
147–149
On the topological properties of partially ordered sets
V. G. Vinokurov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 151–155
151–155
A property of completely continuous operators in the space $C$
I. K. Daugavet
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Page 157
157
A new formula in the operational calculus
M. A. Evgrafov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 159–160
159–160
On the self-adjointness of the Sturm–Liouville operator
R. S. Ismagilov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 161–166
161–166
On the systems of Lozinskii and Harshiladze
M. I. Kadets
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 167–169
167–169
A symmetric metric in a space of transfinite numbers
A. L. Lunts
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 171–172
171–172
An example of a pair of orthogonal Latin squares of order ten
A. I. Lyamzin
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 173–174
173–174
On the pasting of functions of class $H_p^{(\alpha)}$
I. V. Matveev, S. M. Nikol'skii
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 175–180
175–180
An example of an irreducible perfect mapping of a non-normal space onto a normal space
A. S. Mishchenko
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 181–182
181–182
Zero-dimensional, open, dimension-raising mappings
B. A. Pasynkov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 183–190
183–190
On the divergence of Fourier series with respect to a re-arranged trigonometrical system
L. V. Taikov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 191–198
191–198
On Haar's theorem for infinite systems of linear inequalities
S. N. Chernikov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 199–200
199–200
On multi-channel scattering
A. L. Chistyakov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 201–208
201–208
A remark on adjacent vertices on a convex polyhedron
Yu. A. Shashkin
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 209–211
209–211
The space of relative distances
M. A. Shtan'ko
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 213–218
213–218

Mathematical Events in the USSR
Meetings of the Moscow Mathematical Society
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 219–220
219–220
Abstracts of talks, presented to the Presidium of Moscow Mathematical Society and accepted by the Presidium
Theory of summation of bounded sequences by regular matrices
I. I. Ogievetskii
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 221–223
221–223
Theory of the branching of solutions of nonlinear equations
M. M. Vainberg, V. A. Trenogin
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 223–224
223–224
On a model in quantum field theory
F. A. Berezin
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 225–226
225–226
On a boundary-value problem for ordinary differential equations
Yu. A. Klokov
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 226–227
226–227
Topological characteristics of homomorphisms of compact Lie groups
I. Z. Rozenknop
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 227–229
227–229

News
A resolution of the Presidium of the USSR Academy of Sciences
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Page 230
230
Seminar on Mathematical Problems in Gas Dynamics
S. B. Stechkin
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 231–232
231–232

Reviews and Bibliography
New books on mathematics
L. P. Kalinina
Uspekhi Matematicheskikh Nauk, 1963, Volume 18, Issue 5(113), Pages 233–236
233–236
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