Table of contents

Volume 43

Number 4, August 1988

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

199
Finite group schemes of period p over a discrete valuation ring

View article, Finite group schemes of period p over a discrete valuation ring PDF, Finite group schemes of period p over a discrete valuation ring
https://doi.org/10.1070/RM1988v043n04ABEH001899
201
Unitary equivalence of Hamiltonians in a Fock space

View article, Unitary equivalence of Hamiltonians in a Fock space PDF, Unitary equivalence of Hamiltonians in a Fock space
https://doi.org/10.1070/RM1988v043n04ABEH001880
203
The kernel space of a Witt algebra

and

View article, The kernel space of a Witt algebra PDF, The kernel space of a Witt algebra
https://doi.org/10.1070/RM1988v043n04ABEH001888
205
Asymptotic properties of random transformations

View article, Asymptotic properties of random transformations PDF, Asymptotic properties of random transformations
https://doi.org/10.1070/RM1988v043n04ABEH001883
207
On the topology of a dual object and exponential Lie groups

View article, On the topology of a dual object and exponential Lie groups PDF, On the topology of a dual object and exponential Lie groups
https://doi.org/10.1070/RM1988v043n04ABEH001885
209
Goldbach's ternary problem and the Goldbach-Waring problem with prime numbers lying in intervals of special form

View article, Goldbach's ternary problem and the Goldbach-Waring problem with prime numbers lying in intervals of special form PDF, Goldbach's ternary problem and the Goldbach-Waring problem with prime numbers lying in intervals of special form
https://doi.org/10.1070/RM1988v043n04ABEH001890
211
An infinite series of local conservation laws of Miura type for higher Benney equations

and

View article, An infinite series of local conservation laws of Miura type for higher Benney equations PDF, An infinite series of local conservation laws of Miura type for higher Benney equations
https://doi.org/10.1070/RM1988v043n04ABEH001896
213
On smoothing of maps in normed spaces

and

View article, On smoothing of maps in normed spaces PDF, On smoothing of maps in normed spaces
https://doi.org/10.1070/RM1988v043n04ABEH001870
215
Classification of stable rank 2 reflexive sheaves on P4 with C2 ⩽ 2

View article, Classification of stable rank 2 reflexive sheaves on P4 with C2 ⩽ 2 PDF, Classification of stable rank 2 reflexive sheaves on P4 with C2 ⩽ 2
https://doi.org/10.1070/RM1988v043n04ABEH001889
217
On quantum motion integrals

View article, On quantum motion integrals PDF, On quantum motion integrals
https://doi.org/10.1070/RM1988v043n04ABEH001916
219
On the eigenvalues of a perturbed almost periodic operator that are immersed in the continuous spectrum

View article, On the eigenvalues of a perturbed almost periodic operator that are immersed in the continuous spectrum PDF, On the eigenvalues of a perturbed almost periodic operator that are immersed in the continuous spectrum
https://doi.org/10.1070/RM1988v043n04ABEH001908
221
Necessary second-order conditions for optimality in problems with delays in controls

View article, Necessary second-order conditions for optimality in problems with delays in controls PDF, Necessary second-order conditions for optimality in problems with delays in controls
https://doi.org/10.1070/RM1988v043n04ABEH001910
223
Procedures of stochastic approximation in statistics of semimartingale type of processes

View article, Procedures of stochastic approximation in statistics of semimartingale type of processes PDF, Procedures of stochastic approximation in statistics of semimartingale type of processes
https://doi.org/10.1070/RM1988v043n04ABEH001909
225
An averaging principle for parabolic equations ("fast variable - -flow")

View article, An averaging principle for parabolic equations ("fast variable - -flow") PDF, An averaging principle for parabolic equations ("fast variable - -flow")
https://doi.org/10.1070/RM1988v043n04ABEH001911
227
On the length of the nodal curve of an eigenfunction of the Laplace operator

View article, On the length of the nodal curve of an eigenfunction of the Laplace operator PDF, On the length of the nodal curve of an eigenfunction of the Laplace operator
https://doi.org/10.1070/RM1988v043n04ABEH001905
229
Quotient representations of the infinite spin-symmetric group

View article, Quotient representations of the infinite spin-symmetric group PDF, Quotient representations of the infinite spin-symmetric group
https://doi.org/10.1070/RM1988v043n04ABEH001912
231
On smooth linearization of systems of differential equations in a neighbourhood of a saddle singular point

View article, On smooth linearization of systems of differential equations in a neighbourhood of a saddle singular point PDF, On smooth linearization of systems of differential equations in a neighbourhood of a saddle singular point
https://doi.org/10.1070/RM1988v043n04ABEH001913
233
The category characteristic of a hyperspace

View article, The category characteristic of a hyperspace PDF, The category characteristic of a hyperspace
https://doi.org/10.1070/RM1988v043n04ABEH001901
235
Ramification divisor of the Gauss map for a Θ-divisor of the intermediate Jacobian of the double P3 of index 2 with a singularity

View article, Ramification divisor of the Gauss map for a Θ-divisor of the intermediate Jacobian of the double P3 of index 2 with a singularity PDF, Ramification divisor of the Gauss map for a Θ-divisor of the intermediate Jacobian of the double P3 of index 2 with a singularity
https://doi.org/10.1070/RM1988v043n04ABEH001915
237
The Phragmén-Lindelöf principle for quasi-linear divergent higher order elliptic equations

View article, The Phragmén-Lindelöf principle for quasi-linear divergent higher order elliptic equations PDF, The Phragmén-Lindelöf principle for quasi-linear divergent higher order elliptic equations
https://doi.org/10.1070/RM1988v043n04ABEH001914
239
On a bicyclic self-adjoint algebra in a Krein space that is non-isomorphic to its own commutator-group

View article, On a bicyclic self-adjoint algebra in a Krein space that is non-isomorphic to its own commutator-group PDF, On a bicyclic self-adjoint algebra in a Krein space that is non-isomorphic to its own commutator-group
https://doi.org/10.1070/RM1988v043n04ABEH001903

MATHEMATICAL EVENTS IN THE USSR

241
Dmitrii Nikolaevich Zubarev (on his seventieth birthday)

and

View article, Dmitrii Nikolaevich Zubarev (on his seventieth birthday) PDF, Dmitrii Nikolaevich Zubarev (on his seventieth birthday)
https://doi.org/10.1070/RM1988v043n04ABEH001902
245
Aleksandr Fedorovich Lavrik (on his sixtieth birthday)

, , , and

View article, Aleksandr Fedorovich Lavrik (on his sixtieth birthday) PDF, Aleksandr Fedorovich Lavrik (on his sixtieth birthday)
https://doi.org/10.1070/RM1988v043n04ABEH001904
249
Solomon Grigor'evich Mikhlin (on his eightieth birthday)

, , , and

View article, Solomon Grigor'evich Mikhlin (on his eightieth birthday) PDF, Solomon Grigor'evich Mikhlin (on his eightieth birthday)
https://doi.org/10.1070/RM1988v043n04ABEH001906
253
Petr Lavrent'evich Ul'yanov (on his sixtieth birthday)

, and

View article, Petr Lavrent'evich Ul'yanov (on his sixtieth birthday) PDF, Petr Lavrent'evich Ul'yanov (on his sixtieth birthday)
https://doi.org/10.1070/RM1988v043n04ABEH001907
1
Sergei Petrovich Novikov (on his fiftieth birthday)

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View article, Sergei Petrovich Novikov (on his fiftieth birthday) PDF, Sergei Petrovich Novikov (on his fiftieth birthday)
https://doi.org/10.1070/RM1988v043n04ABEH001866
11
Homological dimension theory

View article, Homological dimension theory PDF, Homological dimension theory

CONTENTS Introduction § 1. Definition of cohomological dimension § 2. Bokshtein's inequalities § 3. Cohomological manifolds over finite groups § 4. The CE-problem § 5. Borsuk's problem References

https://doi.org/10.1070/RM1988v043n04ABEH001900
65
The correctness of Euler's method for the factorization of the sine function into an infinite product

View article, The correctness of Euler's method for the factorization of the sine function into an infinite product PDF, The correctness of Euler's method for the factorization of the sine function into an infinite product

CONTENTS Introduction § 1. Euler's method. The basic statements § 2. Non-standard analysis § 3. The derivation of Euler's factorizations using non-standard analysis § 4. Euler's construction in the system of non-standard analysis § 5. Factors and coefficients in Euler's construction § 6. A factorization that Euler did not want to complete § 7. The summation of infinitesimals § 8. Formal infinity as a mathematical object § 9. Representations of the exponential as a series and as a power § 10. Comparing the coefficients of non-standard polynomials Conclusion References

https://doi.org/10.1070/RM1988v043n04ABEH001868
95
New methods in general topology connected with forcing

View article, New methods in general topology connected with forcing PDF, New methods in general topology connected with forcing

CONTENTS Introduction § 1. Absolute and relative results § 2. Change in research plans § 3. Metamathematics in general topology § 4. Major new lines of investigation Conclusion References

https://doi.org/10.1070/RM1988v043n04ABEH001891
111
Dimension type characteristics for invariant sets of dynamical systems

View article, Dimension type characteristics for invariant sets of dynamical systems PDF, Dimension type characteristics for invariant sets of dynamical systems

CONTENTS Introduction Part I. Definition and basic properties of dimension and capacity characteristics § 1. Construction of dimension and capacity characteristics § 2. Properties of dimension and capacity characteristics Part II. Examples of dimension and capacity characteristics § 3. Classical dimension and capacity characteristics § 4. Topological pressure and topological entropy § 5. Metric entropy characteristics § 6. Dimension and capacity characteristics relative to a mapping Appendix A. A variational principle for non-compact sets Appendix B. Dynamical invariants of Takens Appendix C. Carathéodory-measurable sets References

https://doi.org/10.1070/RM1988v043n04ABEH001892
153
Topological analysis of the structure of hydrodynamic flows

View article, Topological analysis of the structure of hydrodynamic flows PDF, Topological analysis of the structure of hydrodynamic flows

CONTENTS § 0. Introduction § 1. Extended version of some Morse constructions § 2. Potential flows § 3. Superposition of a vortex on a simple passage § 4. Superposition of a vortex on a reverse flow § 5. Analytic uniqueness theorem References

https://doi.org/10.1070/RM1988v043n04ABEH001895
191
Anatolii Mikhailovich Vasil'ev (obituary)

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View article, Anatolii Mikhailovich Vasil'ev (obituary) PDF, Anatolii Mikhailovich Vasil'ev (obituary)
https://doi.org/10.1070/RM1988v043n04ABEH001893
195
Vladimir Gennadievich Sprindzhuk (obituary)

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View article, Vladimir Gennadievich Sprindzhuk (obituary) PDF, Vladimir Gennadievich Sprindzhuk (obituary)
https://doi.org/10.1070/RM1988v043n04ABEH001898