Geodesic

Sommaire du Fascicule no. 1

Distribution functions and trigonometric series with monotonically decreasing coefficients
p. 3-10
Best approximations by rational functions
p. 11-15
Imbedding in the class $e^L$
p. 17-24
Limiting functions of series of functions
p. 25-32
Uniform-convergence factors for Fourier series of functions with a~given modulus of continuity
p. 33-40
Roots of the equation $f(z)=\alpha f(a)$ for the class of typically-real functions
p. 41-52
An~extremal property of outer functions
p. 53-56
Theorem concerning analytic continuation
p. 57-62
Structure of genera of representations of nonsemisimple rings
p. 63-67
Representation of numbers by irreducible binary cubic forms
p. 69-71
Application of the large sieve to the solution of additive problems of mixed type
p. 73-81
Method of determining lower bounds for the complexity of $P$-schemes
p. 83-92
Influence of viscosity on the smoothness of solutions of incompletely parabolic systems
p. 93-99
Smoothness of solutions of certain singular second-order equations
p. 101-111
Limit of a~complex random function
p. 113-123

Sommaire du Fascicule no. 2

A differential equation without a solution
p. 125-128
Some specifically nonlinear oscillation theorems
p. 129-134
Infinitesimal first- and second-order deformations of ribbed surfaces of revolution, preserving the normal curvature or geodesic torsion of the boundary parallel
p. 135-144
$n$-Dimensional compact complex analytic manifolds having $n-1$ algebraically independent meromorphic functions
p. 145-149
Finite 2-groups having invariant non-completely partitionable subgroups
p. 151-161
Finite unsolvable nonsimple $(A)$-groups
p. 163-168
On the group property recognition problem
p. 169-180
Markov chains on a matrix group
p. 181-186
A lemma due to Bernshtein for sums of dependent random variables
p. 187-194
Chebyshev inequalities in symmetric spaces
p. 195-205
Formula for the differentiation of operator-valued functions depending on a parameter
p. 207-218
The relation between lebesgue integrable and Birkhoff--Khinchin summable functions
p. 219-228
A generalization of the Schwarzian derivative and its applications
p. 229-238
A rotation theorem for the class of univalent $p$-symmetric functions
p. 239-242
A basis for the operational method of finding interpolation polynomials
p. 243-247

Sommaire du Fascicule no. 3

Ivan Matveevich Vinogradov (on his 80th birthday)
p. 251-252
A counterexample to the Hasse principle for a system of two quadratic forms in five variables
p. 253-257
Lucas's criterion for the primality of numbers of the form $N=h2^n-1$
p. 259-268
Infinite-order differential equations with analytic solutions
p. 269-278
Hilbert's boundary-value problem (with coefficients from the Wiener ring) for matrix-valued functions analytic in the unit disk
p. 279-286
A geometric property of functions starlike of order~$\alpha$
p. 287-293
An example of a function which is Denjoy integrable but not Khinchin summable
p. 295-300
Operators, absolutely indefinitely bounded below, in spaces with indefinite metric
p. 301-305
The existence of solutions of generalized differential equations
p. 307-313
Some continuous decompositions of the space~$E^n$
p. 315-326
Isometric immersions of a Euclidean plane in Lobachevskii space
p. 327-332
Nonrigidity of certain composite surfaces of revolution
p. 333-344
Exact projective representations of Abelian groups
p. 345-354
An optimal problem in graph theory
p. 355-359
Generalization of the problem of the number of partitions of a finite set
p. 361-367

Sommaire du Fascicule no. 4

Series in the Haar system
p. 369-374
Orthogonal bases for $L^p$ spaces
p. 375-385
Sums of series of Legendre polynomials
p. 387-398
Interdependence of a theorem of Koebe and a theorem of Caratheodory
p. 399-406
Elliptic curves $x^3+y^3=D$
p. 407-414
A.\,O.~Gel'fond's method in the theory of transcendental numbers
p. 415-426
Central quotient groups
p. 427-436
Finite groups with $2$-closed or $2'$-closed centralizers of involutions
p. 437-446
Existence of a null Chaplygin approximation for a solution of the generalized Cauchy problem
p. 447-452
Some functionals over a compact Minkovskii space
p. 453-457
A continuity criterion for metric projections in Banach spaces
p. 459-468
Hyperbolic bendings of surfaces
p. 469-478
Testing a complex linear hypothesis with unknown observation weights
p. 479-483

Sommaire du Fascicule no. 5

Absolute summability of orthogonal series by Hausdorff methods
p. 485-492
Diameters of classes of continuous functions in the $L_p$ space
p. 493-500
Some bounds in the construction of Bernoulli-normal sequences of signs
p. 501-510
On the action of a~circle on manifolds
p. 511-518
Equivariant bordisms
p. 519-526
On the change in moduli under circular symmetrization
p. 527-532
Remarks on a~stability problem
p. 533-536
On the number of generators in the algebra of continuous functions
p. 537-540
On a~problem in the theory of nonlinear Fredholm operators
p. 541-549
Infinitely small bending slipping of component surfaces of revolution
p. 549-554
Некоторые свойства гомологии $Y$-систем
p. 555-564
On conditional mathematical expectations for functions integrable in the Pettis sense
p. 565-570
On the exactness of certain inequalities in approximation theory
p. 571-582
Resonance theorems and functional series
p. 583-595

Sommaire du Fascicule no. 6

Petr Vasil'evich Galkin
p. 597-600
On the modulus of continuity of the operator of best approximation in the space of continuous functions
p. 601-613
Best one-sided approximation of certain classes of functions
p. 615-626
Relation between approximations in the mean for analytic and for harmonic functions
p. 627-634
Bases in the spaces $C$ and $L_p$
p. 635-640
Asymptotic estimates of integral functions defined by canonical products
p. 641-648
Constructing block designs of elements or residue rings with a composite modulus
p. 649-658
Simplexes of $L$-subdivisions of Euclidean spaces
p. 659-670
Matrix representation of Lie algebras over rings
p. 671-678
On the structure of finite commutative rings with an identity
p. 679-688
Co-imaging rings
p. 689-700