Table of contents

Volume 47

Number 5, October 1992

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

173
On the question of discrimination of hypotheses in binary partially ordered statistical experiments

View article, On the question of discrimination of hypotheses in binary partially ordered statistical experiments PDF, On the question of discrimination of hypotheses in binary partially ordered statistical experiments
https://doi.org/10.1070/RM1992v047n05ABEH000945
175
Engelian Hopf algebras and the quantum analogue of Serre's conjecture

View article, Engelian Hopf algebras and the quantum analogue of Serre's conjecture PDF, Engelian Hopf algebras and the quantum analogue of Serre's conjecture
https://doi.org/10.1070/RM1992v047n05ABEH000946
177
The asymptotics of the spectrum of non-self-adjoint degenerate systems of elliptic differential operators

View article, The asymptotics of the spectrum of non-self-adjoint degenerate systems of elliptic differential operators PDF, The asymptotics of the spectrum of non-self-adjoint degenerate systems of elliptic differential operators
https://doi.org/10.1070/RM1992v047n05ABEH000947
180
Representation of positive semirings by sections

View article, Representation of positive semirings by sections PDF, Representation of positive semirings by sections
https://doi.org/10.1070/RM1992v047n05ABEH000948
183
The flag manifold and representations of the quantum full linear group

View article, The flag manifold and representations of the quantum full linear group PDF, The flag manifold and representations of the quantum full linear group
https://doi.org/10.1070/RM1992v047n05ABEH000949
185
Families of stable manifolds of invariant sets of systems of parabolic equations

View article, Families of stable manifolds of invariant sets of systems of parabolic equations PDF, Families of stable manifolds of invariant sets of systems of parabolic equations
https://doi.org/10.1070/RM1992v047n05ABEH000950
187
A method of constructing the field of real numbers in AST

View article, A method of constructing the field of real numbers in AST PDF, A method of constructing the field of real numbers in AST
https://doi.org/10.1070/RM1992v047n05ABEH000951
189
Construction of noise-resistant codes by means of linear recurrences over Galois rings

and

View article, Construction of noise-resistant codes by means of linear recurrences over Galois rings PDF, Construction of noise-resistant codes by means of linear recurrences over Galois rings
https://doi.org/10.1070/RM1992v047n05ABEH000952
191
Construction of an invariant of the algebraic analogue of a periodic Toda chain

View article, Construction of an invariant of the algebraic analogue of a periodic Toda chain PDF, Construction of an invariant of the algebraic analogue of a periodic Toda chain
https://doi.org/10.1070/RM1992v047n05ABEH000953
194
Classification of certain types of locally compact groups in terms of their unitary representations

View article, Classification of certain types of locally compact groups in terms of their unitary representations PDF, Classification of certain types of locally compact groups in terms of their unitary representations
https://doi.org/10.1070/RM1992v047n05ABEH000955
196
On right ideals of a free associative algebra, generated by free colour Lie superalgebras and p-superalgebras

View article, On right ideals of a free associative algebra, generated by free colour Lie superalgebras and p-superalgebras PDF, On right ideals of a free associative algebra, generated by free colour Lie superalgebras and p-superalgebras
https://doi.org/10.1070/RM1992v047n05ABEH000956
198
Various doublings of Hopf algebras. Operator algebras on quantum groups, complex cobordisms

View article, Various doublings of Hopf algebras. Operator algebras on quantum groups, complex cobordisms PDF, Various doublings of Hopf algebras. Operator algebras on quantum groups, complex cobordisms
https://doi.org/10.1070/RM1992v047n05ABEH000957
200
Boundary behaviour of a billiard trajectory in an n-dimensional cube

View article, Boundary behaviour of a billiard trajectory in an n-dimensional cube PDF, Boundary behaviour of a billiard trajectory in an n-dimensional cube
https://doi.org/10.1070/RM1992v047n05ABEH000958
203
On the spectrum of a problem of Sobolev

View article, On the spectrum of a problem of Sobolev PDF, On the spectrum of a problem of Sobolev
https://doi.org/10.1070/RM1992v047n05ABEH000959
205
On the Fredholm property of a manifold

View article, On the Fredholm property of a manifold PDF, On the Fredholm property of a manifold
https://doi.org/10.1070/RM1992v047n05ABEH000960
207
On the Gel'fand-Kolmogorov theorem on maximal ideals of rings of continuous functions

View article, On the Gel'fand-Kolmogorov theorem on maximal ideals of rings of continuous functions PDF, On the Gel'fand-Kolmogorov theorem on maximal ideals of rings of continuous functions
https://doi.org/10.1070/RM1992v047n05ABEH000961
209
On the properties of the solutions of a class of differential-difference equations and certain spectral problems

View article, On the properties of the solutions of a class of differential-difference equations and certain spectral problems PDF, On the properties of the solutions of a class of differential-difference equations and certain spectral problems
https://doi.org/10.1070/RM1992v047n05ABEH000962
212
On the problem of the two-armed bandit with impulse controls and discounting

View article, On the problem of the two-armed bandit with impulse controls and discounting PDF, On the problem of the two-armed bandit with impulse controls and discounting
https://doi.org/10.1070/RM1992v047n05ABEH000963

MATHEMATICAL EVENTS

215
Yurii Fedorovich Korobeinik (on his sixtieth birthday)

, , , , and

View article, Yurii Fedorovich Korobeinik (on his sixtieth birthday) PDF, Yurii Fedorovich Korobeinik (on his sixtieth birthday)
https://doi.org/10.1070/RM1992v047n05ABEH000964
1
Dmitrii Evgen'evich Men'shov (on the 100th anniversary of his birth)

and

View article, Dmitrii Evgen'evich Men'shov (on the 100th anniversary of his birth) PDF, Dmitrii Evgen'evich Men'shov (on the 100th anniversary of his birth)
https://doi.org/10.1070/RM1992v047n05ABEH000940
13
The representation theorems of D.E. Men'shov and their impact on the development of the metric theory of functions

and

Open abstract View article, The representation theorems of D.E. Men'shov and their impact on the development of the metric theory of functions PDF, The representation theorems of D.E. Men'shov and their impact on the development of the metric theory of functions

CONTENTS The history of the formation of the problem of representing functions by trigonometric series §1. Men'shov's theorems §2. Correction theorems §3. Null-series §4. Representation theorems References

https://doi.org/10.1070/RM1992v047n05ABEH000941
49
Development of D.E. Men'shov's results in the theory of orthogonal series

View article, Development of D.E. Men'shov's results in the theory of orthogonal series PDF, Development of D.E. Men'shov's results in the theory of orthogonal series
https://doi.org/10.1070/RM1992v047n05ABEH000942
71
The work of D.E. Men'shov in the theory of analytic functions and the present state of the theory of monogeneity

Open abstract View article, The work of D.E. Men'shov in the theory of analytic functions and the present state of the theory of monogeneity PDF, The work of D.E. Men'shov in the theory of analytic functions and the present state of the theory of monogeneity

CONTENTS Introduction §1. Conformal mappings §2. The Looman-Men'shov theorem §3. Asymptotic monogeneity §4. Other forms of monogeneity References

https://doi.org/10.1070/RM1992v047n05ABEH000943
103
Some problems in the theory of multiple trigonometric series

Open abstract View article, Some problems in the theory of multiple trigonometric series PDF, Some problems in the theory of multiple trigonometric series

CONTENTS Introduction Chapter I. Convergence of rectangular partial sums §1. Results on the almost everywhere convergence of Fourier series of integrable functions §2. The almost everywhere convergence of Fourier series of functions from §3. A brief survey of new results on the convergence of rectangular partial sums in various metrics Chapter II. New results on rectangular means of multiple Fourier series Chapter III. Dirichlet kernels §1. Lebesgue constants and norms of some trigonometric polynomials §2. Asymptotic behaviour of Dirichlet kernels Chapter IV. Uniqueness problems for multiple trigonometric series (rectangular partial sums) Chapter V. Problems of localization for rectangular partial sums Chapter VI. Special classes of multiple trigonometric series §1. Series with monotone coefficients §2. Multiple lacunary series §3. Fourier series of piecewise monotone functions of several variables Chapter VII. A definition of convergence of multiple series Chapter VIII. Conjugate series and conjugate functions of several variables §1. Conjugate series and conjugate functions in , §2. The conjugation operator in the space §3. Multidimensional analogues of Plessner's theorem Chapter IX. Representation of functions by trigonometric series and "correction" of functions Chapter X. Fourier coefficients §1. Cantor-Lebesgue and Denjoy-Luzin theorems §2. New results on the absolute convergence of Fourier series §3. Transformations of Fourier coefficients and other results References

https://doi.org/10.1070/RM1992v047n05ABEH000944