Table of contents

Volume 43

Number 2, April 1988

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

157
On the modality and complexity of actions of reductive groups

View article, On the modality and complexity of actions of reductive groups PDF, On the modality and complexity of actions of reductive groups
https://doi.org/10.1070/RM1988v043n02ABEH001715
159
Degrees of insolubility of extensions of arithmetic by true propositions

View article, Degrees of insolubility of extensions of arithmetic by true propositions PDF, Degrees of insolubility of extensions of arithmetic by true propositions
https://doi.org/10.1070/RM1988v043n02ABEH001708
161
Classification of linear mappings from one pseudoeuclidean space into another

View article, Classification of linear mappings from one pseudoeuclidean space into another PDF, Classification of linear mappings from one pseudoeuclidean space into another
https://doi.org/10.1070/RM1988v043n02ABEH001711
163
A functional limit theorem for a symmetric walk in a random environment

and

View article, A functional limit theorem for a symmetric walk in a random environment PDF, A functional limit theorem for a symmetric walk in a random environment
https://doi.org/10.1070/RM1988v043n02ABEH001710
165
Chapman's theorem in the equivariant shape theory

View article, Chapman's theorem in the equivariant shape theory PDF, Chapman's theorem in the equivariant shape theory
https://doi.org/10.1070/RM1988v043n02ABEH001712
167
Monotonicity of random walks in partially ordered sets

View article, Monotonicity of random walks in partially ordered sets PDF, Monotonicity of random walks in partially ordered sets
https://doi.org/10.1070/RM1988v043n02ABEH001719
169
The Lie algebras and cohomologies of Lie algebras of differential operators

View article, The Lie algebras and cohomologies of Lie algebras of differential operators PDF, The Lie algebras and cohomologies of Lie algebras of differential operators
https://doi.org/10.1070/RM1988v043n02ABEH001720
171
A stochastic game with complete information and without equilibrium situations in pure stationary strategies

View article, A stochastic game with complete information and without equilibrium situations in pure stationary strategies PDF, A stochastic game with complete information and without equilibrium situations in pure stationary strategies
https://doi.org/10.1070/RM1988v043n02ABEH001717
173
A relaxation system in the neighbourhood of a disruption point: reduction to the regular case

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View article, A relaxation system in the neighbourhood of a disruption point: reduction to the regular case PDF, A relaxation system in the neighbourhood of a disruption point: reduction to the regular case
https://doi.org/10.1070/RM1988v043n02ABEH001718
175
On the rate of convergence in the limit theorem for stochastic integrals with respect to martingales

and

View article, On the rate of convergence in the limit theorem for stochastic integrals with respect to martingales PDF, On the rate of convergence in the limit theorem for stochastic integrals with respect to martingales
https://doi.org/10.1070/RM1988v043n02ABEH001734
177
A Tikhonov G-space not admitting a compact Hausdorff G-extension or G-linearization

View article, A Tikhonov G-space not admitting a compact Hausdorff G-extension or G-linearization PDF, A Tikhonov G-space not admitting a compact Hausdorff G-extension or G-linearization
https://doi.org/10.1070/RM1988v043n02ABEH001733
179
Embeddings of a minimal model of k-homotopy type in the algebra of smooth forms Λ*(M)

View article, Embeddings of a minimal model of k-homotopy type in the algebra of smooth forms Λ*(M) PDF, Embeddings of a minimal model of k-homotopy type in the algebra of smooth forms Λ*(M)
https://doi.org/10.1070/RM1988v043n02ABEH001723
181
On limit equations for degenerate non-linear elliptic equations in Sobolev-Orlicz spaces with weight

and

View article, On limit equations for degenerate non-linear elliptic equations in Sobolev-Orlicz spaces with weight PDF, On limit equations for degenerate non-linear elliptic equations in Sobolev-Orlicz spaces with weight
https://doi.org/10.1070/RM1988v043n02ABEH001722
183
Determinism of Lévy random fields and unitary representations of infinite-dimensional groups

View article, Determinism of Lévy random fields and unitary representations of infinite-dimensional groups PDF, Determinism of Lévy random fields and unitary representations of infinite-dimensional groups
https://doi.org/10.1070/RM1988v043n02ABEH001732
185
Some properties of classes of analytic functions on Parreau-Widom surfaces

View article, Some properties of classes of analytic functions on Parreau-Widom surfaces PDF, Some properties of classes of analytic functions on Parreau-Widom surfaces
https://doi.org/10.1070/RM1988v043n02ABEH001726
187
Non-Euclidean geometry of mirrors and prequantization on the homogeneous Kähler manifold M = Diff+(S1)/Rot(S1)

View article, Non-Euclidean geometry of mirrors and prequantization on the homogeneous Kähler manifold M = Diff+(S1)/Rot(S1) PDF, Non-Euclidean geometry of mirrors and prequantization on the homogeneous Kähler manifold M = Diff+(S1)/Rot(S1)
https://doi.org/10.1070/RM1988v043n02ABEH001724
189
Group symmetry in degenerate extremal problems

View article, Group symmetry in degenerate extremal problems PDF, Group symmetry in degenerate extremal problems
https://doi.org/10.1070/RM1988v043n02ABEH001725

MATHEMATICAL EVENTS IN THE USSR

191
Aleksandr Danilovich Aleksandrov (on his seventy-fifth birthday)

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View article, Aleksandr Danilovich Aleksandrov (on his seventy-fifth birthday) PDF, Aleksandr Danilovich Aleksandrov (on his seventy-fifth birthday)
https://doi.org/10.1070/RM1988v043n02ABEH001727
201
Valentin Evgen'evich Voskresenskii (on his sixtieth birthday)

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View article, Valentin Evgen'evich Voskresenskii (on his sixtieth birthday) PDF, Valentin Evgen'evich Voskresenskii (on his sixtieth birthday)
https://doi.org/10.1070/RM1988v043n02ABEH001731
205
Leonid Grigor'evich Mikhailov (on his sixtieth birthday)

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View article, Leonid Grigor'evich Mikhailov (on his sixtieth birthday) PDF, Leonid Grigor'evich Mikhailov (on his sixtieth birthday)
https://doi.org/10.1070/RM1988v043n02ABEH001730
209
Semen Yakovlevich Khavinson (on his sixtieth birthday)

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View article, Semen Yakovlevich Khavinson (on his sixtieth birthday) PDF, Semen Yakovlevich Khavinson (on his sixtieth birthday)
https://doi.org/10.1070/RM1988v043n02ABEH001729
1
Stochastic extremal problems and the strong Markov property of random fields

Open abstract View article, Stochastic extremal problems and the strong Markov property of random fields PDF, Stochastic extremal problems and the strong Markov property of random fields

CONTENTS Introduction § 1. Stochastic models § 2. The strong Markov property. Splitting random elements § 3. Extremal problems and splitting random sets § 4. Constructions of splitting elements based on the solution of extremal problems § 5. Random change of variables § 6. The strong Markov property of random fields on a Euclidean space § 7. Constructions of splitting domains § 8. Survey of examples and applications References

https://doi.org/10.1070/RM1988v043n02ABEH001721
51
The hyperbolic equation method in the theory of operators of Schrödinger type with a locally integrable potential

Open abstract View article, The hyperbolic equation method in the theory of operators of Schrödinger type with a locally integrable potential PDF, The hyperbolic equation method in the theory of operators of Schrödinger type with a locally integrable potential

CONTENTS Introduction Chapter I. Some function classes generated by a differential expression of Schrödinger type with localized singularities of the coefficients § 1. The Friedrichs self-adjoint realization § 2. The notion of consistent triple § 3. Some function classes. A new description of the Friedrichs self-adjoint realization § 4. A property of quadratic forms generated by the Dirichlet integral § 5. The local nature of the dependence of the lineal on the coefficients of a differential expression § 6. A theorem on the boundedness of functions that belong to a kernel of the minimal operator § 7. Isolation of the positive part of the Friedrichs self-adjoint realization Chapter II. Finite rate of propagation and self-adjoint realizations of a general strongly singular differential expression of Schrödinger type § 1. The minimal operator § 2. The finite rate of propagation of a differential expression of Schrödinger type with a strongly singular potential. The notion of a consistent triple § 3. The notion of a globally finite rate of propagation § 4. Tests for self-adjointness of the minimal operator § 5. The Kato-Knowles method of studying a minimal operator of Schrödinger type with a locally integrable potential § 6. Some general properties of self-adjoint extensions of a minimal operator § 7. An application of the minimal operator in some questions of the theory of quadratic forms References

https://doi.org/10.1070/RM1988v043n02ABEH001728
103
Functional superanalysis

Open abstract View article, Functional superanalysis PDF, Functional superanalysis

CONTENTS Introduction § 1. Analysis on a superspace over a commutative Banach superalgebra § 2. Analysis on a superspace over commutative supermodules § 3. Feynman and Gauss distributions on a superspace. The Hilbert state superspace for a quantum system with bosonic and fermionic coordinates § 4. Pseudo-differential operators in superanalysis § 5. The general theory of superspace § 6. Possible generalizations and unsolved problems References

https://doi.org/10.1070/RM1988v043n02ABEH001713
139
Konstantin Ivanovich Babenko (obituary)

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View article, Konstantin Ivanovich Babenko (obituary) PDF, Konstantin Ivanovich Babenko (obituary)
https://doi.org/10.1070/RM1988v043n02ABEH001716
153
Sergei Nikolaevich Chernikov (obituary)

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View article, Sergei Nikolaevich Chernikov (obituary) PDF, Sergei Nikolaevich Chernikov (obituary)
https://doi.org/10.1070/RM1988v043n02ABEH001714