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1984, Volume 39, Issue 2(236)  


Liouville integrability of Hamiltonian systems on Lie algebras
V. V. Trofimov, A. T. Fomenko
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 1–67
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003090
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 3–56
1–67
Non-standard analysis and singular perturbations of ordinary differential equations
A. K. Zvonkin, M. A. Shubin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 69–131
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003091
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 77–127
69–131
Sergei Yur'evich Maslov (obituary)
G. V. Davydov, Yu. V. Matiyasevich, G. E. Mints, V. P. Orevkov, A. O. Slisenko, A. V. Sochilina, N. A. Shanin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 133–135
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003092
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 129–130
133–135

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society
An estimate of the Hausdorff dimension of a basic set in a neighbourhood of a homoclinic trajectory
V. S. Afraimovich, Ya. B. Pesin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 137–138
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003093
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 135–136
137–138
The fixed sign property of quadratic forms on a cone
A. V. Arutyunov, N. T. Tynyanskii
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 139–140
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003094
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 133–134
139–140
A reconstruction theorem for a quantized random field
V. P. Belavkin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 141–142
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003095
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 137–138
141–142
On the uniqueness of the Fourier problem for quasi-linear equations of unsteady filtration type
N. M. Bokalo
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 143–144
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003096
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 139–140
143–144
Defects of holomorphic curves of lower order less than $1/2$, with conditions on the regularity of growth
N. S. Chekalkin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 145–146
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003097
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 201–202
145–146
Ordering of topological spaces
G. I. Chertanov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 147–148
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003098
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 203–204
147–148
On estimates of the first eigenvalue of the Sturm–Liouville problem
Yu. V. Egorov, V. A. Kondrat'ev
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 149–150
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003099
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 151–152
149–150
Non-rationality of the general Enriques threefold
S. Yu. Èndryushka
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 151–152
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003100
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 211–212
151–152
Linear functionals on spaces of uniformly continuous functions and abstract measures
V. P. Fedorova
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 153–154
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003111
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 197–198
153–154
The semi-infinite homology of Kac–Moody and Virasoro Lie algebras
B. L. Feigin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 155–156
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003112
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 195–196
155–156
On the localization of random walk in a random medium
A. O. Golosov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 157–158
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003113
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 145–146
157–158
Symmetric geometrical structures
P. Ya. Grushko
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 159–160
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003115
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 147–148
159–160
On the question of the solubility of multidimensional variational problems
F. V. Guseinov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 161–162
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003117
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 149–150
161–162
Bernstein's inequality for fractional derivatives of polynomials in spherical harmonics
A. I. Kamzolov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 163–164
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003119
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 159–160
163–164
The Robinson–Schensted–Knuth correspondence and the Littlewood–Richardson rule
S. V. Kerov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 165–166
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003121
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 161–162
165–166
Spectral synthesis of ideals in algebras of functions having generalized derivatives
L. G. Khanin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 167–168
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003123
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 199–200
167–168
A complete solution of Kotzig's problem on the existence of an Euler tour in $p$-quasigroups
N. P. Korovina
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 169–170
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003124
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 163–164
169–170
On compacta admitting of an FAR-decomposition
V. S. Kotanov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 171–172
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003126
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 165–166
171–172
On an invariant of a smooth manifold
M. V. Losik
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 173–174
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003128
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 167–168
173–174
Pure states and nested algebras
G. A. Mel'nichenko
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 175–176
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003130
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 169–170
175–176
On a lower-semicontinuous extension of multi-dimensional variational problems
K. V. Morozov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 177–178
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003132
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 171–172
177–178
On proper codimensions of $T$-ideals
N. G. Nadzharyan
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 179–180
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003134
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 173–174
179–180
On the group of points of some formal groups
A. G. Nasybullin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 181–182
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003136
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 175–176
181–182
On best methods of integration and of recovery of functions on classes given by convolutions that do not increase the oscillation
Nguyên Thị Thiêu Hoa
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 183–184
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003138
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 177–178
183–184
On the homotopy groups of certain spaces of matrix-valued functions and on the stability of the system of partial indices of a family of matrix-valued functions
P. V. Nikolenko
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 185–186
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003140
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 179–180
185–186
Reorientation of level surfaces of a function in a neighbourhood of a simple unimodular critical point
S. Yu. Orevkov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 187–188
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003142
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 181–182
187–188
On the Hausdorff–Young integral inequality in spaces with mixed norm
E. A. Pavlov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 189–190
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003143
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 183–184
189–190
On the algebraic independence of the values of hypergeometric $E$-functions
V. Kh. Salikhov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 191–192
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003144
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 185–186
191–192
The Liouville property of maximal Abelian coverings of Riemann surfaces
G. B. Shabat
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 193–194
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003146
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 131–132
193–194
Duality of boundary singularities
I. G. Shcherbak
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 195–196
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003147
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 207–208
195–196
On compact homogeneous spaces of positive Euler characteristic
A. N. Shchetinin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 197–198
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003149
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 209–210
197–198
On the note of convergence of Newton's interpolation process and the power of certain codes
I. E. Shparlinski
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 199–200
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003150
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 205–206
199–200
On the zeta function of a transversally elliptic operator
S. A. Smagin, M. A. Shubin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 201–202
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003151
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 187–188
201–202
On characteristic classes of homogeneous foliations
S. L. Tabachnikov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 203–204
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003152
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 189–190
203–204
On the spectral decomposition of free topological groups
M. G. Tkachenko
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 205–206
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003153
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 191–192
205–206
On the absence of local minima in the multi-dimensional Dirichlet functional
A. V. Tyrin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 207–208
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003154
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 193–194
207–208
The topology of caustics, wave fronts, and degeneracies of critical points
A. N. Varchenko, S. M. Gusein-Zade
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 209–210
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003155
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 141–142
209–210
On “predictable” convergence criteria in variation of probability measures
L. Yu. Vostrikova
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 211–212
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003156
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 143–144
211–212
Infinite-dimensional manifolds arising from direct limits of ANR's
M. M. Zarichnyi
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 213–214
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003157
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 153–154
213–214
Some properties of generalized manifolds
L. G. Zerkalov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 215–216
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003158
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 155–156
215–216
On extreme mixed norms
N. M. Zobin
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 217–218
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003159
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 157–158
217–218

Mathematical Events in the USSR
Ivan Aleksandrovich Kipriyanov (on his sixtieth birthday)
V. A. Il'in, L. D. Kudryavtsev, P. I. Lizorkin, S. M. Nikol'skii, A. A. Samarskii, A. N. Tikhonov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 219–221
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003160
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 213–214
219–221
Sergei Aleksandrovich Lomov (on his sixtieth birthday)
Yu. A. Dubinskii, S. I. Pokhozhaev, V. F. Safonov, A. N. Tikhonov
Russian Mathematical Surveys, 1984, Volume 39, Issue 2, Pages 223–224
DOI: https://doi.org/10.1070/RM1984v039n02ABEH003161
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 215–216
223–224



Papers published in the Russian version only
Singular perturbations of ordinary differential equations and nonstandard analysis
P. Cartier
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 57–76
57–76

Mathematical Events in the USSR
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
S. A. Nazarov, A. L. Krylov, A. E. Lifshits, V. A. Vassiliev, A. V. Mikhailov, B. A. Dubrovin
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 217–221
217–221
Conference on Nonlinear Problems of Mathematical Physics
B. V. Bazalii, I. I. Danilyuk, I. V. Skrypnik
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 223–227
223–227

Reviews and Bibliography
New books on mathematics
L. P. Kalinina
Uspekhi Matematicheskikh Nauk, 1984, Volume 39, Issue 2(236), Pages 229–235
229–235
Успехи математических наук Russian Mathematical Surveys
 
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