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1957, Volume 12, Issue 1  


Computation of the amount of information about a stochastic function contained in another such function
I. M. Gel'fand, A. M. Yaglom
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 3–52
3–52
Variational problems with admissible surfaces of arbitrary topological types
A. G. Sigalov
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 53–98
53–98
On the theorem of uniform continuity
V. A. Uspenskii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 99–142
99–142

Scientific communications
Reconstruction of the potential energy from the scattering matrix
Z. S. Agranovich, V. A. Marchenko
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 143–145
143–145
A class of generalized functions
V. M. Babich
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 145
145
Differential geometry of smooth manifolds
I. Ya. Bakelman
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 145–146
145–146
Eigenfunction expansions of general self-adjoint differential operators
Yu. M. Berezanskii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 147
147
On an inverse problem of spectral analysis for the Schrödinger equation
Yu. M. Berezanskii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 147
147
Hypercomplex systems with continual basis
Yu. M. Berezanskii, S. G. Krein
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 147–152
147–152
Laplace operators on semisimple Lie groups and on certain symmetric spaces
F. A. Berezin
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 152–156
152–156
Constructing of variational methods for elliptic differential equations
M. Sh. Birman
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 157
157
On critical values of certain functionals in Banach spaces
Yu. G. Borisovich
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 157–160
157–160
On a possible generalization of the method of orthogonal trajectories
M. A. Krasnosel'skii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 160–162
160–162
Certain questions of functional analysis and variational methods of investigation of non-linear equations
M. M. Vainberg
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 162–165
162–165
On certain methods of approximate solutions of non-linear functional equations in Banach spaces
B. A. Vertgeim
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 166–169
166–169
Application of the theory of partially ordered spaces to the study of self-adjoint operators in Hilbert space
B. Z. Vulikh
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 169–172
169–172
Approximate determination of eigenvalues and the theory of perturbation
M. K. Gavurin
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 173–175
173–175
Difference method of computation of shock waves
S. K. Godunov
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 176–177
176–177
On the index, null elements and elements of the kernel of an unbounded operator
I. Ts. Gokhberg
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 177–179
177–179
Unitary representations of real simple Lie groups
M. I. Graev
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 179–182
179–182
Integration and differentiation of functions of Hermitian operators depending on a parameter
Yu. L. Daletskii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 182–186
182–186
On approximation of abstract functions
S. I. Zukhovitskii, S. B. Stechkin
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 187–191
187–191
On convergence of sequences of functions in certain functional spaces
V. P. Il'in
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 192–195
192–195
On approximate solution of non-linear operator equations by iterative methods
Yu. Ya. Kaazik
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 195–199
195–199
On linear and bilinear transformation of sequences in Banach space
G. F. Kangro
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 199–201
199–201
Harmonic analysis of fast growing functions
B. I. Korenblum
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 201–203
201–203
Generalized solutions of elliptic differential equations and their summability in $L_p$
A. I. Koshelev
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 203
203
Study of the spectrum of a nonlinear operator in the neighborhood of a point of bifurcation and applications to the problem of longitudinal bending of a compressed rod
M. A. Krasnosel'skii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 203–208
203–208
Differential equations in a Banach space and their application in hydromechanics
S. G. Krein
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 208–211
208–211
On non-linear equations with positive non-linearities
L. A. Ladyzhenskii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 211–212
211–212
The method of non-selfadjoint operators in scattering theory
M. S. Livshits
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 212–218
212–218
Some problems of the spectral theory of systems of differential equations
V. B. Lidskii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 218
218
Existence of fundamental solution of equations of elliptic type
Yu. I. Lyubich
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 218
218
The principle of St. Venant and oscillating functions
S. I. Mel'nik
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 218–222
218–222
Some theorems of non-linear functional analysis and their application in the theory of local groups
D. P. Mil'man
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 222–226
222–226
Completeness of the system of eigenfunctions and associated functions of elliptic differential operators
B. M. Naimark
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 226
226
A lattice characterization of function spaces
A. G. Pinsker
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 226–229
226–229
Expansions in functions that are solutions of scattering problem
A. Ya. Povzner
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 230
230
Bundles of hyperplanes in linear spaces
D. A. Raikov
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 230
230
On a class of Banach spaces
Ya. B. Rutitskii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 230–234
230–234
Operator equations in partially ordered spaces and some qualitative theorems for linear partial differential equations
M. A. Rutman
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 234–238
234–238
Investigation of the rapidity of convergence of the method of quickest descent
B. A. Samokish
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 238–240
238–240
Construction of operators of transformation and solution of a problem of moments for ordinary linear differential equations of arbitrary order
M. K. Fage
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 240–245
240–245
On the well-posedness and convergence of difference equations
A. F. Filippov
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 245
245
On a new problem of theoty of trans-sonic flows
F. I. Frankl'
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 245
245
On certain problems of the general theory of commutative normed rings
G. E. Shilov
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 246–249
246–249
On subrings of the ring of continuous functions
I. M. Gel'fand
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 249–251
249–251
Generalized resolvents of symmetric operators and eigenfunction expansions of a class of boundary problems
A. V. Strauss
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 251–253
251–253
On regular and parabolic systems of partial differential equations
S. D. Èidel'man
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 254–257
254–257
Variational problems with retarded argument
L. È. Èl'sgol'ts
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 257–258
257–258

Letters to the Editor
Letter to the Editor
K. A. Bagrinovskii
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 259
259
Erratum
R. N. Shcherbakov
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Pages 259–261
259–261
Erratum
P. G. Kontorovich
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 261
261
Correction
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 262
262
Erratum
A. A. Gol'dberg
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 262
262
Erratum
M. F. Shirokhov
Uspekhi Matematicheskikh Nauk, 1957, Volume 12, Issue 1(73), Page 262
262
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