Table of contents

Volume 41

Number 5, October 1986

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

123
The limit distribution of deviations in the sense of Hellinger distance of nuclear estimates of probability density

View article, The limit distribution of deviations in the sense of Hellinger distance of nuclear estimates of probability density PDF, The limit distribution of deviations in the sense of Hellinger distance of nuclear estimates of probability density
https://doi.org/10.1070/RM1986v041n05ABEH003426
125
On a problem of L.G. Zambakhidze

View article, On a problem of L.G. Zambakhidze PDF, On a problem of L.G. Zambakhidze
https://doi.org/10.1070/RM1986v041n05ABEH003427
127
On theorems of A. I. Mal'tsev concerning matrix representations of algebras

View article, On theorems of A. I. Mal'tsev concerning matrix representations of algebras PDF, On theorems of A. I. Mal'tsev concerning matrix representations of algebras
https://doi.org/10.1070/RM1986v041n05ABEH003428
129
On the uniqueness of the solution of a problem for non-linear parabolic equations without initial conditions

View article, On the uniqueness of the solution of a problem for non-linear parabolic equations without initial conditions PDF, On the uniqueness of the solution of a problem for non-linear parabolic equations without initial conditions
https://doi.org/10.1070/RM1986v041n05ABEH003430
131
The reduction of a problem on the bifurcation of minimal surfaces to operator equations and the search for bifurcations of a catenoid, a helicoid, and the Scherk and Enneper surfaces

View article, The reduction of a problem on the bifurcation of minimal surfaces to operator equations and the search for bifurcations of a catenoid, a helicoid, and the Scherk and Enneper surfaces PDF, The reduction of a problem on the bifurcation of minimal surfaces to operator equations and the search for bifurcations of a catenoid, a helicoid, and the Scherk and Enneper surfaces
https://doi.org/10.1070/RM1986v041n05ABEH003429
133
On some qualitative properties of the solutions of a non-divergent semilinear second-order parabolic equation

View article, On some qualitative properties of the solutions of a non-divergent semilinear second-order parabolic equation PDF, On some qualitative properties of the solutions of a non-divergent semilinear second-order parabolic equation
https://doi.org/10.1070/RM1986v041n05ABEH003431
135
Stable metrics on universal algebras

View article, Stable metrics on universal algebras PDF, Stable metrics on universal algebras
https://doi.org/10.1070/RM1986v041n05ABEH003432
137
Lifting idempotents in algebraic algebras over Hensel valuation rings

View article, Lifting idempotents in algebraic algebras over Hensel valuation rings PDF, Lifting idempotents in algebraic algebras over Hensel valuation rings
https://doi.org/10.1070/RM1986v041n05ABEH003433
139
On a Levi theorem for Lie algebras of characteristic p

View article, On a Levi theorem for Lie algebras of characteristic p PDF, On a Levi theorem for Lie algebras of characteristic p
https://doi.org/10.1070/RM1986v041n05ABEH003434
141
Semihomeomorphisms and homeomorphisms

and

View article, Semihomeomorphisms and homeomorphisms PDF, Semihomeomorphisms and homeomorphisms
https://doi.org/10.1070/RM1986v041n05ABEH003435
143
The rate of convergence in the central limit theorem for semimartingales in its non-classical formulation

View article, The rate of convergence in the central limit theorem for semimartingales in its non-classical formulation PDF, The rate of convergence in the central limit theorem for semimartingales in its non-classical formulation
https://doi.org/10.1070/RM1986v041n05ABEH003436
145
Singular vectors and discrete modules

View article, Singular vectors and discrete modules PDF, Singular vectors and discrete modules
https://doi.org/10.1070/RM1986v041n05ABEH003437
147
Preservation of shape local n-connectedness for fibrations

View article, Preservation of shape local n-connectedness for fibrations PDF, Preservation of shape local n-connectedness for fibrations
https://doi.org/10.1070/RM1986v041n05ABEH003438
149
The splitting of separatrices and the generation of isolated periodic solutions in Hamiltonian systems with one-and-a-half degrees of freedom

View article, The splitting of separatrices and the generation of isolated periodic solutions in Hamiltonian systems with one-and-a-half degrees of freedom PDF, The splitting of separatrices and the generation of isolated periodic solutions in Hamiltonian systems with one-and-a-half degrees of freedom
https://doi.org/10.1070/RM1986v041n05ABEH003439
151
The existence of a Hilbert space valued process with given jumps

View article, The existence of a Hilbert space valued process with given jumps PDF, The existence of a Hilbert space valued process with given jumps
https://doi.org/10.1070/RM1986v041n05ABEH003440
153
Hopf algebras and vector symmetries

View article, Hopf algebras and vector symmetries PDF, Hopf algebras and vector symmetries
https://doi.org/10.1070/RM1986v041n05ABEH003441
155
Weak convergence of stochastic integrals with respect to semimartingales

View article, Weak convergence of stochastic integrals with respect to semimartingales PDF, Weak convergence of stochastic integrals with respect to semimartingales
https://doi.org/10.1070/RM1986v041n05ABEH003442
157
Equivariant topology of nematic liquid crystals

View article, Equivariant topology of nematic liquid crystals PDF, Equivariant topology of nematic liquid crystals
https://doi.org/10.1070/RM1986v041n05ABEH003443
159
Topological classification of pairs of commuting antiholomorphic involutions of Riemann surfaces

View article, Topological classification of pairs of commuting antiholomorphic involutions of Riemann surfaces PDF, Topological classification of pairs of commuting antiholomorphic involutions of Riemann surfaces
https://doi.org/10.1070/RM1986v041n05ABEH003444
161
Vectors of exponential type and differential equations in a scale of Banach spaces

View article, Vectors of exponential type and differential equations in a scale of Banach spaces PDF, Vectors of exponential type and differential equations in a scale of Banach spaces
https://doi.org/10.1070/RM1986v041n05ABEH003445
163
On a system of boundary-layer equations of dilatant fluids

View article, On a system of boundary-layer equations of dilatant fluids PDF, On a system of boundary-layer equations of dilatant fluids
https://doi.org/10.1070/RM1986v041n05ABEH003446
165
Finite-zone analogues of N-multiplet solutions of the Korteweg-de Vries equation

View article, Finite-zone analogues of N-multiplet solutions of the Korteweg-de Vries equation PDF, Finite-zone analogues of N-multiplet solutions of the Korteweg-de Vries equation
https://doi.org/10.1070/RM1986v041n05ABEH003447
167
Topological rings with involution

View article, Topological rings with involution PDF, Topological rings with involution
https://doi.org/10.1070/RM1986v041n05ABEH003448
169
Bifurcations of a family of vector fields on the plane that touch the coordinate axes

View article, Bifurcations of a family of vector fields on the plane that touch the coordinate axes PDF, Bifurcations of a family of vector fields on the plane that touch the coordinate axes
https://doi.org/10.1070/RM1986v041n05ABEH003449

MATHEMATICAL EVENTS IN THE USSR

171
Adelaida Borisovna Vasil'eva (on her sixtieth birthday)

, , and

View article, Adelaida Borisovna Vasil'eva (on her sixtieth birthday) PDF, Adelaida Borisovna Vasil'eva (on her sixtieth birthday)
https://doi.org/10.1070/RM1986v041n05ABEH003450
1
A survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities

and

View article, A survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities PDF, A survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities

CONTENTS § 1. Introduction § 2. An estimate of the Hölder constant for § 3. An estimate of the Hölder norm for on the boundary § 4. Estimates of the Hölder norms for in domains § 5. Estimates of the and norms for solutions of quasi-linear elliptic and parabolic equations § 6. Estimates of the Hölder norms of higher derivatives of solutions of quasi-linear elliptic and parabolic equations § 7. Existence theorems § 8. References

https://doi.org/10.1070/RM1986v041n05ABEH003415
33
The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory

and

View article, The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory PDF, The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory

CONTENTS Introduction § 1. Cohomological characterization of admissible sheaves § 2. Admissible sheaves as direct images § 3. Invertible sheaves and Baker functions § 4. Geometry of the twistor transformation and constructions of admissible sheaves § 5. Twistor analysis of a generalized system with ϕ4-interaction References

https://doi.org/10.1070/RM1986v041n05ABEH003421
63
The method of Poincaré normal forms in problems of integrability of equations of evolution type

View article, The method of Poincaré normal forms in problems of integrability of equations of evolution type PDF, The method of Poincaré normal forms in problems of integrability of equations of evolution type

CONTENTS Introduction § 1. Changes of variables for evolution equations § 2. Analytic operators § 3. Existence of solutions § 4. Evolution equations in spaces with a basis § 5. Ancillary lemmas § 6. Poincaré normalizing transformations § 7. Proof of Theorem 4.1 § 8. Non-linear heat and Schrödinger equations § 9. Generalizations of Theorem 4.1. Diffusion equation § 10. The Hopf-Cole substitution and the Miura transformation § 11. Concluding remarks References

https://doi.org/10.1070/RM1986v041n05ABEH003423
115
Sergei Mikhailovich Lozinskii (obituary)

, , , , , and

View article, Sergei Mikhailovich Lozinskii (obituary) PDF, Sergei Mikhailovich Lozinskii (obituary)
https://doi.org/10.1070/RM1986v041n05ABEH003424
119
Pavel Petrovich Korovkin (obituary)

, and

View article, Pavel Petrovich Korovkin (obituary) PDF, Pavel Petrovich Korovkin (obituary)
https://doi.org/10.1070/RM1986v041n05ABEH003425