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1954, Volume 9, Issue 4(62)  


On the scientific trend of the department of differential geometry of the Moscow State University
S. P. Finikov
3
Linear representations of the Lorentz group
M. A. Naimark
19
Stability of solutions of differential-difference equations
L. È. Èl'sgol'ts
95
Behavior of eigenfunctions and the spectrum of Sturm–Liouville operators
È. È. Shnol'
113
On mathematical life in the German Democratic Republic
B. V. Gnedenko, L. A. Kaluzhnin
133

Scientific notes and problems
Determination of a smooth surface by first and generalized second quadratic forms
I. Ya. Bakelman
155
On continuous dependence of asymptotic stability upon a parameter
I. S. Gradshtein
163
Investigation of possibilities of varying the solutions of certain classes of differential equations
A. G. Dorfman
167
On some special classes of analytic functions univalent in a circle
V. A. Zmorovich
175
On a problem of N. N. Luzin
P. P. Kufarev, N. V. Semukhina
183
On a method of approximate solution of the Lavrent'ev–Bicadze problem
O. A. Ladyzhenskaya
187
Estimation of certain numerical series
V. I. Levin
191
Generalization of Cramér's limit theorem
V. V. Petrov
195
Application of the theory of Markov chains to the arithmetic of quaternions
Yu. V. Linnik
203
A condition of orderability for an arbitrary ring
V. D. Podderyugin
211
Proof of convergence of the eigenfunctions obtained by the method of grids
V. K. Saul'ev
217
On a class of periodic groups
N. F. Sesekin, A. I. Starostin
225
On the paper of F. I. Frankl' “Some remarks on principles in the general theory of relativity”
V. A. Fok
229
Archimedean ordered rings
J. V. Hion
237
Riemann's problem with Hermitian matrices
Yu. L. Shmul'yan
243

Mathematical Events in the USSR
Meetings of the Town's Mathematical Seminar in Leningrad
249
In the Commission on History of Mathematical and Physical Sciences. Meeting in Memory of Vladimir Andreevich Markov
256
Second Mathematical Competition in Ordzhonikidze
F. S. Churikov
259

Reviews and Bibliography
P. L. Chebyshev, Complete Collected Works, vols. I–V (review)
B. V. Gnedenko
263
A. Ya. Khinchin, A short course of mathematical analysis (review)
F. D. Gakhov, M. G. Khaplanov, S. Ya. Al'per
266
J. Mikusiński, Rachunek operatorów [Operational calculus] (review)
L. A. Lyusternik
276
N. A. Frolov, Theory of functions of a real variable (review)
F. D. Gakhov
277
Correction
280
Correction
N. I. Ibragimov
280
Успехи математических наук
 
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