Geodesic

Sommaire du Fascicule no. 1

Approximation of smooth manifolds by real algebraic sets
p. 1-59
Hankel operators, best approximations, and stationary Gaussian processes
p. 61-144
In memory of Lazar' Aronovich Lyusternik
p. 145-147
On $T_1$-refinable spaces
p. 149-150
Non-self-adjoint contractive extensions of a~Hermitian contraction and theorems of~Krein
p. 151-152
On the non-reducibility of the $(u, v)$-derivative to the Fr\'echet derivative
p. 153-154
On the behaviour of solutions of high-order elliptic equations degenerating at infinity
p. 155-156
On the limit behaviour of one-dimensional dynamical systems
p. 157-158
On~spectral properties of operators with shift
p. 159-160
The representation of a~shape fibration as an inverse limit of fibrations of $ANR$-spaces
p. 161-162
The mapping of a~closed surface onto an inscribed sphere
p. 163-164
On a class of $\mathfrak J$-non-expansive operators
Stochastic integrals in locally convex spaces
p. 166-167
Singularities of the solution of a~mixed problem for second-order hyperbolic equations in domains with a~piecewise smooth boundary
p. 168-169
The structure of invariant measures on locally compact semigroups with open translations
p. 170-171
Parabolic systems of pseudodifferential equations in Sobolev spaces of variable order
p. 172-173
Orschemes of $N$-algebras
p. 174-175
On the tightness of spaces of continuous functions
p. 176-177
Description of the closures of the linear hulls of some systems of functions
p. 178-179
Dominating sequences and tight spaces
p. 180-181
Functions of generating operators in a~Banach lattice~-- example of a~$\mu$-lattice
p. 182-183
Meetings of the Leningrad Mathematical Society
New books on mathematics

Sommaire du Fascicule no. 2

Incidence structures and ternary algebras
p. 1-39
Axiomatic relativity theory
p. 41-89
The problem of the completeness of root vectors in the spectral theory of operator-valued functions
p. 91-164
The group theory problems of the Kourovka Notebook -- progress from the sixth to the seventh symposium
p. 165-191
Viktor Vladimirovich Vagner (obituary)
p. 193-195
Apollon Iosifovich Kalandiya (obituary)
p. 197-200
Solution of an extremal problem in operator theory and analogues of an identity of M.~Riesz
p. 201-202
On sensitive mappings of the interval
p. 203-204
On universal locally finite-dimensional spaces
p. 205-206
On the selector principle and analytic definability of constructive sets
p. 207-208
On $\varkappa$-metrizable spaces
p. 209-210
$\sigma$-additive and $\tau$-additive functionals on lattices of uniformly continuous functions
p. 211-212
The spectrum of the transfer-matrix of fermion fields
p. 213-214
On the equivalence of Haar and Franklin systems in symmetric spaces
p. 215-216
On the linearity of the set of sums of a~series of functions
p. 217-218
Cohomology of the algebra $\mathfrak{gl}(n)$ in the case of finite characteristic
p. 219-220
On the structure of functions of class $S$ of self-adjoint elliptic operators on $\mathbb R^n$
p. 221-222
On the first Cartan extensions of the adjoint representation of a~simple Lie algebra
p. 223-224
A~lower bound for the average size of a~sequentially controlled sample
p. 225-226
On $\mathfrak T$-compactifications of mappings
p. 227-228
The complementary series of representations of the group of diffeomorphisms of the circle
p. 229-230
Asymptotic formulae for solutions of a~system of non-linear Schr\"odinger equations
p. 231-232
Spherical functions and characters on the group $U(\infty)^X$
p. 233-234
On asymptotic properties of derivatives of the deformation tensor of solutions of the systems of elasticity theory
p. 235-236
On a~test for the normality of families of holomorphic functions
p. 237-238
On bounded and almost-periodic solutions of certain non-linear evolution equations
p. 239-240
On spaces having linearly homeomorphic spaces of continuous functions in the topology of pointwise convergence
p. 241-242
The canonical form of the parabolic Monge--Amp\`ere equations and sufficient conditions for the existence of solutions regular in the whole plane
p. 243-244
Symplectic structure of the orbits of the coadjoint representation of Lie algebras of type
p. 245-246
The relation between the chiral $CP^2$-model and cylindrically-symmetric solutions of the Yang--Mills equation
p. 247-248
On the behaviour at infinity of the solution of a~second-order elliptic equation given on a~cylinder
p. 249-250
On the cohomology of certain Lie algebras and superalgebras of vector fields
p. 251-252
Averaging of solutions and eigenvalues for boundary-value problems for elliptic equations in perforated domains
p. 253-254
On the spectral representation of images of $\varkappa$-metrizable bicompacta
p. 255-256
Connections on two-dimensional bundles and conformal structures
p. 257-258
Some properties of weakly lacunary power series
p. 259-260
On the regularization of equations of subprincipal type
p. 261-262
The arithmetic of conic bundles
p. 263-264
On local representations of the group $G^X$
p. 265-266
Yurii Mikhailovich Smirnov (on his sixtieth birthday)
p. 267-269
Meetings of the Moscow Mathematical Society
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
Conference on Partial Differential Equations
VI~All-Union School on Theory of Operators in Functional Spaces
New books on mathematics

Sommaire du Fascicule no. 3

The arithmetic theory of algebraic groups
p. 1-62
Multiply valued fields
p. 63-107
It\^o equations and differential geometry
p. 109-163
Automorphic functions and Kummer's problem
p. 165-190
Yaroslav Borisovich Lopatinskii (obituary)
p. 191-194
Existence of and an estimate for the dimension of attractors in quasilinear parabolic equations, and Navier--Stokes systems
p. 195-197
On the ``spectral decomposition'' for piecewise-monotone maps of segments
p. 198-199
Singularities of the admissibility boundary in two-dimensional control systems
p. 200-201
Necessary and sufficient conditions for a~Pontryagin minimum in problems of optimal control with singular conditions and generalized controls
p. 202-203
On a~non-linear Dirichlet problem with a~parameter
p. 204-205
Projection of $0$-dimensional complete intersections onto a~line and the $k(\pi,1)$-conjecture
p. 206-208
A~Liouville theorem on a~manifold
p. 209-210
On successive bifurcations of one-parameter families of maps
p. 211-212
On an analytic realization of operators commuting with the operator of generalized differentiation
p. 213-214
On $p$-adic distributions
p. 215-216
A~criterion for biholomorphic equivalence of a~ball and a~contractible bounded domain
p. 217-218
Generalized Atiyah--Ward fibrations
p. 219-220
A~stochastic equation for the maximum likelihood estimate of the parameter of a~process of diffusion type
p. 221-222
On the number of integral points in a~domain
p. 223-224
On the well-posedness of the Cauchy problem for certain hyperbolic operators with characteristics of high variable multiplicity
p. 225-226
Leonid Vital'evich Kantorovich (on his seventieth birthday)
p. 229-238
Meetings of the Ural Mathematical Society
New books on mathematics

Sommaire du Fascicule no. 4

Floquet theory for partial differential equations
p. 1-60
Meromorphic solutions of algebraic differential equations
p. 61-95
On uniformity and proximity analogues of the Lindel\"of property
p. 97-98
Solution of the Dirichlet problem in a~subspace of a~Hilbert space using potentials
p. 99-100
On Morita equivalence and duality
p. 101-102
The decomposition of groups acting on complexes with a~fundamental domain
p. 103-104
On a~functional equation in the theory of learning
p. 105-106
On chain rings
p. 107-108
Homology of equivariant function spaces
p. 109-110
On open maps
p. 111-112
An estimate for the solution of a~$\bar\partial$-equation in analytic polyhedra in general position
p. 113-114
Some estimates for the diameters of the intersection of classes of functions
p. 115-116
On the existence and asymptotic behaviour of the solutions of a~system in elasticity theory for an infinite domain
p. 117-118
Subelliptic estimates for the oblique derivative problem
p. 119-120
On the N\'eron--Severi torus of a~rational surface
p. 121-122
On the connection between group cohomology and Lie algebras
p. 123-124
The functional central limit theorem for semimartingales taking values in a~Hilbert space
p. 125-126
The topological classification of germs of the maximum and minimax functions of a~family of functions in general position
p. 127-128
Commuting ordinary differential operators of rank~3 corresponding to an elliptic curve
p. 129-130
Linear differential operators and the cohomology of analytic spaces
p. 131-132
On multiparticle systems on a~straight line with a~triangular scattering reflection
p. 133-134
On the homological dimension of Banach algebras of smooth functions
p. 135-136
Abeiian test groups and their applications
p. 137-138
Second-order arithmetic and the consistency of first-order theories
p. 139-140
The principal series of representations of the group of $p$-adic quaternions in spaces over non-Archimedean fields
p. 141-142
A~characterization of compactness in terms of uniform structure in a~function space
p. 143-144
On subgroups of the unitary group over a~semilocal ring
p. 145-146
On the module of functions with compact support over a~ring of continuous functions
p. 147-148
On the theory of spaces of continuous functions
p. 149-150
Ivan Ivanovich Privalov (ninety years after his birth)
p. 152-174
Mark Iosifovich Vishik (on his sixtieth birthday)
p. 175-184
Joint sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics and of the Moscow Mathematical Society
Soviet-Hungarian Symposium on Differential Equations, Theory of Approximation, and Topology
All-Union scientific school ``Lie algebras and their Applications in Mathematics and Physics''
New books on mathematics

Sommaire du Fascicule no. 5

The Hamiltonian formalism and a~many-valued analogue of Morse theory
p. 1-56
Biorthogonal expansions of functions in series of exponents on intervals of the real axis
p. 57-108
The algebra of pseudodifferential operators with analytic symbols and its applications to mathematical physics
p. 109-153
A~boundary-value problem for which the eigenfunctions are multiply based
p. 155-156
A~problem in the theory of congruences
p. 157-158
Uniform structures and the extension of topological spaces
p. 159-160
On $\delta$-metrizable and stratifiable spaces
The equivalence of measures corresponding to canonical Gaussian processes
p. 162-163
An investigation of a~certain model system of quasi-stochastic relaxation oscillations
p. 164-165
An asymptotic solution of an irregularly singular equation in a~Banach space
p. 166-167
Extremal problems and the strict Markov property of stochastic fields
p. 168-169
The pure dimension of rings and modules
p. 170-171
Infinitely small deformations of surfaces in pseudo-Euclidean space
p. 172-173
Generalizations of Lefschetz' theorem on hyperplane sections
p. 174-175
The linear independence over $\mathbb Q$ of dilogarithms at rational points
p. 176-177
The Banach--Saks property and rate of convergence
p. 178-179
The distribution of the eigenvalues of differential operators in large domains
p. 180-181
An application of monotonic semigroups in the theory of perfectly elastic plasticity
p. 182-183
A~characterization of critical finite principal ideal rings
p. 184-185
A~boundary-value problem with discontinuous boundary conditions
p. 186-187
An estimate for the deviation of the solution of the system of elasticity theory in a~perforated domain from that of the averaged system
p. 188-189
On sequentiality of spaces of continuous functions
p. 190-191
Limits of $H$-continuous measures in a Hilbert space
p. 192-193
Topological rings of continuous real functions
p. 194-195
Small-injective rings
p. 196-197
The minimality of derived chains
p. 198-199
The unstable separatrix of Feigenbaum's fixed-point
p. 200-201
Dmitrii Evgen'evich Men'shov (on his ninetieth birthday)
p. 202-215
Eight faces of the Poincar\'e homology 3-sphere
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
Seventh Soviet-Czechoslovak Seminar on Applications of Methods of Function Theory and Functional Analysis for Problems of Mathematical Physics
XVI Voronezh Winter Mathematical School
New books on mathematics

Sommaire du Fascicule no. 6

Two-parameter martingales
p. 1-29
New criteria of relative compactness of sequences of probability measures
p. 31-40
The martingale approach to functional limit theorems
p. 41-54
On the general theory of random fields on the plane
p. 55-80
Stochastic partial differential equations and diffusion processes
p. 81-105
Necessary and sufficient conditions for contiguity and entire asymptotic separation of probability measures
p. 107-136
On the martingale problem
p. 137-150
On summation of independent variables in a~non-classical situation
p. 151-175
Operator stochastic differential equations and stochastic semigroups
p. 177-204
The absolute continuity of distributions of functionals of diffusion processes
p. 205-213
Some applications of the theory of martingales to statistics
p. 215-237
Controlled random sequences and Markov chains
p. 239-274
Boris Vladimirovich Gnedenko (on his seventieth birthday)
p. 275-281
Ibragim Ibishevich Ibragimov (on his seventieth birthday)
p. 283-289
Vladimir Aleksandrovich Marchenko (on his sixtieth birthday)
p. 291-297
Erratum
Notification about death of P.\,S.~Aleksandrov
International conference of graduate students of Moscow State University