Table of contents

Volume 37

Number 5, October 1982

Previous issue Next issue

COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

155
A boundary-value problem for which the eigenfunctions are multiply based

View article, A boundary-value problem for which the eigenfunctions are multiply based PDF, A boundary-value problem for which the eigenfunctions are multiply based
https://doi.org/10.1070/RM1982v037n05ABEH004011
157
A problem in the theory of congruences

and

View article, A problem in the theory of congruences PDF, A problem in the theory of congruences
https://doi.org/10.1070/RM1982v037n05ABEH004019
159
Uniform structures and the extension of topological spaces

View article, Uniform structures and the extension of topological spaces PDF, Uniform structures and the extension of topological spaces
https://doi.org/10.1070/RM1982v037n05ABEH004016
161
On δ-metrizable and stratifiable spaces

View article, On δ-metrizable and stratifiable spaces PDF, On δ-metrizable and stratifiable spaces
https://doi.org/10.1070/RM1982v037n05ABEH004018
162
The equivalence of measures corresponding to canonical Gaussian processes

View article, The equivalence of measures corresponding to canonical Gaussian processes PDF, The equivalence of measures corresponding to canonical Gaussian processes
https://doi.org/10.1070/RM1982v037n05ABEH004017
164
An investigation of a certain model system of quasi-stochastic relaxation oscillations

View article, An investigation of a certain model system of quasi-stochastic relaxation oscillations PDF, An investigation of a certain model system of quasi-stochastic relaxation oscillations
https://doi.org/10.1070/RM1982v037n05ABEH004014
166
An asymptotic solution of an irregularly singular equation in a Banach space

View article, An asymptotic solution of an irregularly singular equation in a Banach space PDF, An asymptotic solution of an irregularly singular equation in a Banach space
https://doi.org/10.1070/RM1982v037n05ABEH004013
168
Extremal problems and the strict Markov property of stochastic fields

View article, Extremal problems and the strict Markov property of stochastic fields PDF, Extremal problems and the strict Markov property of stochastic fields
https://doi.org/10.1070/RM1982v037n05ABEH004015
170
The pure dimension of rings and modules

View article, The pure dimension of rings and modules PDF, The pure dimension of rings and modules
https://doi.org/10.1070/RM1982v037n05ABEH004010
172
Infinitely small deformations of surfaces in pseudo-Euclidean space

, and

View article, Infinitely small deformations of surfaces in pseudo-Euclidean space PDF, Infinitely small deformations of surfaces in pseudo-Euclidean space
https://doi.org/10.1070/RM1982v037n05ABEH004009
174
Generalizations of Lefschetz' theorem on hyper plane sections

View article, Generalizations of Lefschetz' theorem on hyper plane sections PDF, Generalizations of Lefschetz' theorem on hyper plane sections
https://doi.org/10.1070/RM1982v037n05ABEH004008
176
The linear independence over Q of dilogarithms at rational points

View article, The linear independence over Q of dilogarithms at rational points PDF, The linear independence over Q of dilogarithms at rational points
https://doi.org/10.1070/RM1982v037n05ABEH004007
178
The Banach-Saks property and rate of convergence

View article, The Banach-Saks property and rate of convergence PDF, The Banach-Saks property and rate of convergence
https://doi.org/10.1070/RM1982v037n05ABEH004050
180
The distribution of the eigenvalues of differential operators in large domains

View article, The distribution of the eigenvalues of differential operators in large domains PDF, The distribution of the eigenvalues of differential operators in large domains
https://doi.org/10.1070/RM1982v037n05ABEH004039
182
An application of monotonic semigroups in the theory of perfectly elastic plasticity

View article, An application of monotonic semigroups in the theory of perfectly elastic plasticity PDF, An application of monotonic semigroups in the theory of perfectly elastic plasticity
https://doi.org/10.1070/RM1982v037n05ABEH004043
184
A characterization of critical finite principal ideal rings

View article, A characterization of critical finite principal ideal rings PDF, A characterization of critical finite principal ideal rings
https://doi.org/10.1070/RM1982v037n05ABEH004041
186
A boundary-value problem with discontinuous boundary conditions

View article, A boundary-value problem with discontinuous boundary conditions PDF, A boundary-value problem with discontinuous boundary conditions
https://doi.org/10.1070/RM1982v037n05ABEH004042
188
An estimate for the deviation of the solution of the system of elasticity theory in a perforated domain from that of the averaged system

and

View article, An estimate for the deviation of the solution of the system of elasticity theory in a perforated domain from that of the averaged system PDF, An estimate for the deviation of the solution of the system of elasticity theory in a perforated domain from that of the averaged system
https://doi.org/10.1070/RM1982v037n05ABEH004040
190
On sequentiality of spaces of continuous functions

View article, On sequentiality of spaces of continuous functions PDF, On sequentiality of spaces of continuous functions
https://doi.org/10.1070/RM1982v037n05ABEH004037
192
Limits of H-continuous measures in a Hilbert space

View article, Limits of H-continuous measures in a Hilbert space PDF, Limits of H-continuous measures in a Hilbert space
https://doi.org/10.1070/RM1982v037n05ABEH004038
194
Topological rings of continuous real functions

View article, Topological rings of continuous real functions PDF, Topological rings of continuous real functions
https://doi.org/10.1070/RM1982v037n05ABEH004048
196
Small-injective rings

View article, Small-injective rings PDF, Small-injective rings
https://doi.org/10.1070/RM1982v037n05ABEH004049
198
The minimality of derived chains

View article, The minimality of derived chains PDF, The minimality of derived chains
https://doi.org/10.1070/RM1982v037n05ABEH004047
200
The unstable separatrix of Feigenbaum's fixed-point

and

View article, The unstable separatrix of Feigenbaum's fixed-point PDF, The unstable separatrix of Feigenbaum's fixed-point
https://doi.org/10.1070/RM1982v037n05ABEH004046

MATHEMATICAL EVENTS IN THE USSR

202
Dmitrii Evgen'evich Men'shov (on his ninetieth birthday)

, , and

View article, Dmitrii Evgen'evich Men'shov (on his ninetieth birthday) PDF, Dmitrii Evgen'evich Men'shov (on his ninetieth birthday)
https://doi.org/10.1070/RM1982v037n05ABEH004045
1
The Hamiltonian formalism and a many-valued analogue of Morse theory

View article, The Hamiltonian formalism and a many-valued analogue of Morse theory PDF, The Hamiltonian formalism and a many-valued analogue of Morse theory

CONTENTS Introduction § 1. The Hamiltonian formalism. Simplest examples. Systems of Kirchhoff type. Factorization of the Hamiltonian formalism for the B-phase of 3He § 2. The Hamiltonian formalism of systems of hydrodynamic origin § 3. What is Morse (LSM) theory? § 4. Equations of Kirchhoff type and the Dirac monopole § 5. Many-valued functional and an analogue of Morse theory. The periodic problem for equations of Kirchhoff type. Chiral fields in an external field § 6. Many-valued functions on finite-dimensional manifolds. An analogue of Morse theory References

https://doi.org/10.1070/RM1982v037n05ABEH004020
57
Biorthogonal expansions of functions in series of exponents on intervals of the real axis

View article, Biorthogonal expansions of functions in series of exponents on intervals of the real axis PDF, Biorthogonal expansions of functions in series of exponents on intervals of the real axis

CONTENTS Introduction Chapter I. Non-harmonic Fourier series (behaviour on the initial interval) § 1.1. Minimal systems of exponentials § 1.2. Expansions of functions in , § 1.3. Expansions of functions in Comments and supplements Chapter II. Non-harmonic Fourier series (the behaviour on the real axis) § 2.1. Extension of convergence of quasi-polynomials § 2.2. Continuation of functions from the initial interval § 2.3. Convergence and summability of non-harmonic Fourier series in the -norm () on every segment Comments and supplements Chapter III. Properties of the system § 3.1. Basis properties § 3.2. Angles between subspaces of exponentials Comments and supplements References

https://doi.org/10.1070/RM1982v037n05ABEH004044
109
The algebra of pseudodifferential operators with analytic symbols and its applications to mathematical physics

View article, The algebra of pseudodifferential operators with analytic symbols and its applications to mathematical physics PDF, The algebra of pseudodifferential operators with analytic symbols and its applications to mathematical physics

CONTENTS Introduction § 1. The test space § 2. The space of generalized functions § 3. The algebra of pseudodifferential operators with analytic symbol § 4. Applications to problems in the whole Euclidean space § 5. The Cauchy problem § 6. Applications to boundary-value problems References

https://doi.org/10.1070/RM1982v037n05ABEH004012