Geodesic

Sommaire du Fascicule no. 1

Sergei L'vovich Sobolev (on his seventieth birthday)
p. 3-17
On~geometric properties of~functions with generalized first derivatives
p. 19-74
The multiplicative arithmetic or Siegel modular forms
p. 75-148
Contact geometry and non-linear second-order differential equations
p. 149-180
Convex operators
p. 181-214
On~perfect actions of~Lie~groups
p. 215-216
Harmonic structures generated by a Wiener heat process on a group
p. 217-218
The~Cauchy problem for~a~certain class of~loaded equations
p. 219-220
The~theorems of Jackson and Bernstein in~$R^m$
p. 221-222
The rate of~growth of~solutions of~quasi-linear elliptic equations in~an~unbounded domain
p. 223-224
Representations of height 1 for infinite-dimensional Lie algebras in the series~$K_n$
p. 225-226
Scattering of plane waves in media with a singular memory
p. 227-228
On~transfinite dimension of~metric spaces
p. 229-230
$\delta$-shaped Sobolev generalized solutions of quasi-linear equations
p. 231-232
The~structure of~flags of~foliations
p. 233-234
On~the~uniqueness of~harmonic coordinates in~the~general theory of~relativity
p. 235-236
On completeness of the set of root vectors of the operator pencil $L(\lambda)=I-\lambda^{-k}B-\lambda^nA$
p. 237-238
Chevalley's theorem for complex crystallographic groups generated by reflections in the affine space
p. 239-240
A~geometric proof of~a~theorem of~Mather
p. 241-242
The cohomology of~nilpotent Lie~algebras and its generating functions
p. 243-244
Ergodic properties of expanding mappings of one-dimensional complexes
p. 245-246
On~applications of~the~Shnirel'man integral in~non-Archimedean analysis
p. 247-248
Decree of the Presidium of the Supreme Soviet of the USSR on decorating of academician Sobolev~S.\,L.\ with the Order of the October Revolution
A~new treatment of~soluble groups with finiteness conditions
All-Union conference on differential equations and computational mathematics
V.\,S.~Korolyuk, N.\,I.~Portenko, A.\,V.~Skorokhod, A.\,F.~Turbin, ``Handbook on probability theory and mathematical statistics'' (a~review)
Reader on history of mathematics (a~review)
New books on mathematics

Sommaire du Fascicule no. 2

Indices of singular points of 1-forms on a manifold with boundary, convolution of invariants of reflection groups, and singular projections of smooth surfaces
p. 1-42
On~elementary properties of existentially closed system
p. 43-107
The spectral theory and the index of elliptic operators with almost periodic coefficients
p. 109-157
Banach lattices -- some Banach aspects of their theory
p. 159-212
Georgii Isaakovich Kats (obituary)
p. 213-217
On~the~size of~the~first jump for a process with independent increments
p. 219-220
Cyclic approximations of interval exchange transformations
p. 221-222
Graded Lie~algebras with long gradings
p. 223-224
An~estimate of~the~number of~invariant tori of~a~dynamical system on a~manifold with boundary
p. 225-226
Mappings into a~Banach space
p. 227-228
Enveloping algebras and deformations
p. 229-230
The rank of a pair of matrices and convolution
p. 231-232
Liouville theorems for~elliptic equations in a~cylinder
p. 233-234
The concept of~a~finite rate of~propagation of~a~perturbation
p. 235-236
Holomorphic endomorphisms of~complex Weyl chambers of~the~series~$D_n$
p. 237-238
Modules over Lie algebras allowing a~first Cartan extension
p. 239-240
The~structure of~the~inverse image of~a~point in~a~space under the~natural map onto its absolute
p. 241-242
Traces and extensions of multipliers in~the~space~$W^l_p$
p. 243-244
Properties of~solutions of~some systems of~differential equations
p. 245-246
Stability of local Lie algebras on compact manifolds
p. 247-248
Spaces of~probability measures
p. 249-250
The~contraction method for a~class of~admissible controls
p. 251-252
Dmitrii Konstantinovich Faddeev (on his seventieth birthday)
p. 253-260
Valentin Konstantinovich Ivanov (on his seventieth birthday)
p. 261-267
Mkhitar Mkrtichevich Dzhrbashyan (on his sixtieth birthday)
p. 269-275
Grigorii Borisovich Gurevich (on his eightieth birthday)
p. 277-279
New books on mathematics
From the Editor
Letter to the Editor
Corrigenda

Sommaire du Fascicule no. 3

The problem of mass transfer with a~discontinuous cost function and a~mass statement of the duality problem for convex extremal problems
p. 1-78
Spectral theory of automorphic functions, the Selberg zeta-function, and some problems of analytic number theory and mathematical physics
p. 79-153
Reducibilities of tabular type in the theory of algorithms
p. 155-192
The Poincar\'e series of iterated loop spaces
p. 193-194
On the expression of a~solution of the equation $Au=h$ in terms of iterations of the unbounded operator $A$, and the weighted approximation of functions
Asymptotically minimax estimates of the mean many-dimensional
p. 196-197
Estimates of the length of gaps in the spectrum of a~first-order system
p. 198-199
The irrationality of certain quantities involving~$\zeta(3)$
The minimum of a~quadratic functional, and linear elliptic boundary-value problems with deviating arguments
p. 201-202
Some estimates of rational trigonometric sums and sums of Legendre symbols
p. 203-204
On the Floquet theory for periodic linear differential equations
p. 205-206
The uniform distribution of fractional parts of recurrent sequences
p. 207-208
The geometry of bifurcation diagrams
p. 209-210
An estimate of the modulus of a~family of curves on a~minimal surface, and applications
p. 211-212
On $p$-adic zeta-functions
p. 213-214
Approximation of weight classes of Sobolev type
p. 215-216
On a~characterization of algebraically compact Abelian groups
Pseudopotentials for the Korteweg--de~Vries equation
p. 218-219
On the Carath\'eodory conditions
p. 220-221
Convex surfaces having bounded total curvature in pseudo-Euclidean space
p. 222-223
The dissipativity conditions and the Weyl matrix limit point
Errata
Algebraic topology. A~student's guide
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
School on mathematical logic and algorithmic problems of algebra
Second All-Union symposium on semigroup theory
Second Ukrainian SSR symposium on differential and integral equations
XIII~Voronezh mathematical winter school
New books on mathematics

Sommaire du Fascicule no. 4

Classical methods in~the~theory of~lattice packings
p. 1-68
Varieties in~representations of finite groups. Locally stable varieties. Matrix groups and varieties of~representations
p. 69-103
Compact families of locally convex topological vector spaces, Fr\'echet--Schwartz and dual Fr\'echet--Schwartz spaces
p. 105-143
Boris Zakharovich Vulikh (obituary)
p. 145-150
Proximity spaces defined by different families of~proximity continuous real functions
p. 151-152
A~theorem on~cardinality
p. 153-154
The~asymptotic behaviour for large~$t$ of~the~Fourier coefficients of solutions of a~system of~Navier--Stokes equations
p. 155-156
Inverse semigroups of~local automorphisms
p. 157-158
Kneading invariants for~mappings of~a~segment with an~absolutely continuous invariant measure
p. 159-160
Some approximative characteristics of~the~classes of~smooth functions of~several variables in~the~metric of~$\mathscr L_2$
p. 161-162
The~topological classification of~orientable attractors on an $n$-dimensional torus
p. 163-164
Deformability of~filtered Lie algebras
Saint-Venant's principle for~the~flow of~a~viscous incompressible liquid
p. 166-167
Conductivity of~two-dimensional random media
p. 168-169
An investigation of~the~stability of~solutions of~a~quasilinear operator equation of~parabolic type
An~implicit mapping theorem for~certain topological modules
Non-essential sets for~the~Dirichlet problem
p. 172-173
The~invertibility of~elements in~the~$C^*$-algebras generated by dynamical systems
p. 174-175
An example of a non-normable Fr\'echet space in which every continuous linear operator has an exponential
p. 176-177
Non-free maximal subgroups of~infinite index of~the~group $\mathrm{SL}_n(\mathbb Z)$
p. 178-179
Averaging of~boundary problems in~perforated domains
p. 180-181
A~problem of Flachsmeyer and Terpe
Birational automorphisms of 3-dimensional algebraic varieties representable in the form of a conic bundle
p. 183-184
James--Orlicz spaces
p. 185-186
A~necessary and sufficient condition for a~strong extremum in~a~degenerate problem of~the~calculus of~variations
p. 187-188
On~a~filtration of~semimartingales
p. 189-190
Difference cocycles for~the~highest Pontryagin classes
p. 191-192
Pelageya Yakovlevna Kochina (on her eightieth birthday)
p. 193-197
Aleksei Vasil'evich Pogorelov (on~his sixtieth birthday)
p. 199-207
Viktor Vladimirovich Vagner (on~his seventieth birthday)
p. 209-212
Vladislav Kirillovich Dzyadyk (on~his sixtieth birthday)
p. 213-221
Joint sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics and of the Moscow Mathematical Society (second meeting, 18--20~January~1979)
Sixth All-Union Symposium on~Group Theory
New books on mathematics

Sommaire du Fascicule no. 5

Nikolai Nikolaevich Bogolyubov (on~his seventieth birthday)
p. 1-10
The quantum method of the inverse problem and the Heisenberg $XYZ$~model
p. 11-68
Averaging and $G$-convergence of~differential operators
p. 69-147
Some mathematical problems of~statistical hydromechanics
p. 149-234
Eigenfunction expansions of~Schr\"odinger-type equations in~Hilbert space
p. 235-236
Locally additive functionals of~Gaussian generalized fields
p. 237-238
The~effective area of~boundary conditions in~the~model of~classical Ising ferromagnetism
p. 239-240
$p$-adic Fourier transforms
p. 241-242
The~general linear programming problem in~ordered spaces
p. 243-244
On~a~diffeomorphism of~a~locally convex space
p. 245-246
The construction of~a~model of~representations of~the~general linear group over a~finite field of~odd~characteristic
p. 247-248
On~the~basis problem of~the~eigenfunctions of~an~ordinary differential operator
p. 249-250
On~the~asymptotic behaviour of~the~solutions of~a~polyharmonic equation in a~neighbourhood of~non-regular boundary points and at infinity
p. 251-252
Decree of the Presidium of the Supreme Soviet of the USSR on decorating of Hero of Socialist Labour academician Bogolyubov~N.\,N. with the Order of Lenin and a~second gold medal ``Sickle and Hammer''
Meetings of the Moscow Mathematical Society
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
Information on mathematical summer school ``Noncommutative Theory of Probabilities.~II''
New books on mathematics

Sommaire du Fascicule no. 6

International topology conference (Moscow, Juin 25--29, 1979)
p. 1-10
Introductory remarks
p. 11-13
Topology and non-linear functional analysis
p. 14-23
Some problems in the theory of shape of compacta
p. 24-26
On~the~topology of~algebraic curves on a~hyperboloid
p. 27-35
On~the~structure of~spaces of~continuous functions and their complete paracompactness
p. 36-44
Convex and metric fiberings
p. 45-48
Structures of~topological type
p. 49-56
Generalized mobility and the~Hurewicz isomorphism theorem for~Steenrod homology
p. 57-59
A~topological approach to~a~problem in~mathematical genetics
p. 60-66
On~extremally disconnected topological groups
p. 67-76
Banach algebras, pseudodifferential operators, and their application to $K$-theory
p. 77-91
Some constructions of~set-theoretical operations
p. 92-102
On~homology theory associated with the Aleksandrov--\v Cech cohomology
p. 103-137
Shape theory and continuous transformations groups
p. 138-143
Homeomorphisms of~product spaces
p. 144-160
On~relative countable compactness
p. 161-165
$S$-duality and shape theory
p. 166-168
A~concept of~pointwise smooth dendroids
p. 169-171
Bordism rings with split normal bundles
p. 172-176
A~generalization of~Fr\'echet $\mathscr L$-spaces
p. 177-178
The~construction of~discriminants in~Hermitian $K$-theory
p. 179-183
Some properties of~partially ordered topological vector spaces and algebras
p. 184-187
Some properties of the space $2^X$ for a topological $R_0$-space
p. 188-193
Semiheaps and semigroups of~continuous linear maps
p. 194-198
A~new method in~the~theory of~extensions of~topological spaces
p. 199-203
Faithful and correct $T_1$-compactifications
p. 204-210
Some remarks on~Blumberg spaces
p. 211-212
Topological applications of~the~apparatus of~formal diffeomorphisms of~the~line
p. 213-219
Conditions for uniform Poisson stability of~cylindrical systems
p. 220-224
Boolean systems
p. 225-229
Immersions and embeddings of~smooth manifolds
p. 230-234
Analytic Lagrangian manifolds and Feynman integrals
p. 235-240
Continuous images of~dense subspaces of~topological products
p. 241-245
A~theorem on a~complete sum of~residues in~$\mathbb CP^n$
p. 246-249
Some homology systems associated with the~differential calculus in~commutative algebras
p. 250-255
On~the~interrelations among the~peripheral properties of~Tikhonov spaces, their powers, exponentials, free groups, and semigroups
p. 256-260
On~relations between properties of~sets and properties of~their sections and projections
p. 261-266
Pages from an~autobiography
p. 267-302