Geodesic

Sommaire du Fascicule no. 1

Viktor~Sil'vestrovich Charin (on his 50th birthday)
p. 5-6
Unbounded divergence of Fourier series of continuous functions
p. 7-18
De la Vall\'e Poussin means of Fourier--Gegenbauer series
p. 19-30
Order of the best spline approximations of some classes of functions
p. 31-42
Diameter of class $W^rL$ in $L(0,2\pi)$ and spline function approximation
p. 43-52
On the representation of functions by Dirichlet double series
p. 53-61
Extremal problems for bounded analytic functions with supplementary conditions
p. 63-68
Existence of discontinuous solutions for simplest semidefinite problems of variational calculus
p. 69-78
On the Shafarevich--Tate group of an~elliptic curve
p. 79-86
On the representation of numbers by a~binary cubical irreducible form
p. 87-96
Consecutive residues and nonresidues of polynomials
p. 97-107
A~property of compactness of families of functions harmonic with respect to a~Markov process
p. 109-115
On the projective dimension of torsion-free abelian groups over the ring of its endomorphisms
p. 117-124
On the Krull--Schmidt theorem for the representation of groups over $P$-integer number rings
p. 125-135

Sommaire du Fascicule no. 2

Note on the addition theorem for Legendre functions
p. 137-145
Estimates of derivatives in a mixed $L_p$-norm on a domain and an extension of functions
p. 147-154
Characteristic of Chebyshev subspaces of finite codimension in $L_1$
p. 155-163
Analytic functions which are regular in a disc and smooth on its boundary
p. 165-172
Some complete sets of complementary elements of the symmetric and the alternating group of the $n$-th degree
p. 173-180
On the representability of a direct interlacing of groups by matrices
p. 181-189
Degenerate fibers of three-dimensional manifolds fibered into rational surfaces
p. 191-202
On approximating the roots of some transcendental equations
p. 203-209
Problem of Ito and McKean on the massiveness of the set of primes
p. 211-215
Estimating probabilities for sums of independent random vectors
p. 217-221
Transformations which leave a measure quasi-invariant
p. 223-227
On some existence theorems for the solutions of a class of nonlinear operator equations
p. 229-237
Addition to the classical theory of Favard
p. 239-246
Theorem of Bartle, Dunford, and Schwartz concerning vector measures
p. 247-254
Eigenfunctions of the Beltrami--Laplace operator on a hyperboloid of one sheet
p. 255-263

Sommaire du Fascicule no. 3

Relationship of several variational methods for the approximate solution of ill-posed problems
p. 265-272
Necessary time-optimality conditions in the case of two control parameters with different functional natures
p. 273-280
Bounds connected with the stability theorems of H.~Cramer
p. 281-288
Distribution of poles of rational functions of best approximation
p. 289-293
Radius of univalence of holomorphic functions
p. 295-298
Completeness in analytic spaces of subsequences of Laguerre and Jacobi polynomials
p. 299-306
Normed spaces in which the unit sphere has no bias
p. 307-310
Method of the moving coordinate frame in the problem of classifying manifolds in algebraic Klein space
p. 311-317
Realization of all distances in a decomposition of the space $R^n$ into $n+1$ parts
p. 319-323
Combinatorial lemma and structure of a class of binary codes
p. 325-331
Endomorphically closed quasigroups
p. 333-338
Ordered sets and their inf-endomorphisms
p. 339-347
A ring of quotients
p. 349-358
Rings over which every module has a maximal submodule
p. 359-367
Pseudo-injective modules and self-pseudo-injective rings
p. 369-380

Sommaire du Fascicule no. 4

From the editors
p. 381-382
Application of number theory in mathematical statistics
p. 383-388
Necessary condition for the regularity of branching processes
p. 389-396
Fourier coefficients of functions of class $\mathrm{Lip}\,\alpha$ with respect to complete orthonormalized systems
p. 397-402
On the set of sums of a functional series
p. 403-410
Some extremal properties of positive trigonometric polynomials
p. 411-422
Linear method for the approximation of differentiable functions
p. 423-430
On series with respect to a Schauder system
p. 431-442
On the maximal dual pairs of invariant subspaces of $J$-self-adjoint operators
p. 443-447
Almost-geodesic mappings of affinely-connected spaces and $e$-structures
p. 449-459
Direct limits of semi-simple rings
p. 461-468
Problem in the theory of cubic residues
p. 469-476
Generalization of the additive problem of divisors
p. 477-482
Regularization of Ritz method on an example of polynomial approximation
p. 483-493
Spectrum of an elliptic equation
p. 495-502
Theory of characteristic Lyapunov indices
p. 503-513
Properties of spectra of nonnegative self-adjoint extensions of elliptic operators and exact conditions for the convergence and Riesz summability of Fourier series of various classes of functions
p. 515-523

Sommaire du Fascicule no. 5

Fields with two linear orderings
p. 525-536
SL-isomorphism of a structurally ordered group
p. 537-544
An infinite irreducible set of semigroup identities
p. 545-549
Free expansions of the intersection of manifolds of universal algebras
p. 551-562
On points of finite order on elliptic curves
p. 563-567
An estimate of an incomplete linear form in several algebraic numbers
p. 569-580
Radii of convexity and close-to-convexity of certain integral representations
p. 581-592
Approximate properties of sets in Banach spaces
p. 593-604
Teikhmyuller problem for one class of open Riemannian surfaces
p. 605-615
On the approximate calculation of the coefficient of correlation between two functions of dependent random variates
p. 617-625
On a characteristic property of the Lorentz space in the class of symmetric spaces
p. 627-633
Functional equations in the theory of semigroups
p. 635-640
Spaces of kinematic type
p. 641-654
Certain problems of the theory of difference boundary value problems
p. 655-663

Sommaire du Fascicule no. 6

The number of solutions of a Waring-type congruence
p. 665-670
The chromatic class and the location of a graph on a closed surface
p. 671-682
Isomorphic extension theorem
p. 683-686
Retracts of structures
p. 687-692
Nonexistence of o-injective partially ordered modules
p. 693-696
Dimension-increasing mappings
p. 697-705
Invariant finite-dimensional exponential families on homogeneous spaces
p. 707-715
Removability of certain sets in the class of three-dimensional quasiconformal mappings
p. 717-722
Order of approximation of functions of the class $Z_2(E^n)$ by linear positive convolution operators
p. 723-732
Criterion for the compactness of a class of functions of $W_m^l$ ($1$)
p. 733-741
Stability of nonlinear systems with delay
p. 743-752
Negative spectrum of the Schr\"odinger operational equation
p. 753-763
Direct and inverse approximation theorems in Banach spaces and Fourier transforms
p. 765-778