Geodesic

Sommaire du Fascicule no. 1

Certain properties of nondegenerate superpositions in $P_k$
p. 3-12
On the Cantor--Lebesgue theorem for double trigonometric series
p. 13-17
Determination of the jump of a function of bounded $p$-variation by its Fourier series
p. 19-28
A property of a system of functions close to exponential functions
p. 29-36
A periodic in the mean extension and bases of exponential functions in $L^p(-\pi,\pi)$
p. 37-42
Approximation by splines and smooth bases in $C(0, 2\pi)$
p. 43-51
Bounded torsion of elliptic curves
p. 53-58
A difference-scheme with error $O(\tau^2+|h|^2)$ for a Navier--Stokes system
p. 59-66
On the modulus of continuity of the solution to the Dirichlet problem at a regular boundary point
p. 67-72
On operators generating conditional bases in a Hilbert space
p. 73-84
Covering convex solids by greater homotheties
p. 85-90
On the imbedding problem for local fields
p. 91-94
On the imbedding of semigroup identities in infinite irreducible sets
p. 95-104
On obtaining close estimates in the approximation of functions of many variables by sums of functions of a fewer number of variables
p. 105-114
Diophantine representation of enumerable predicates
p. 115-120

Sommaire du Fascicule no. 2

A note on locally nilpotent rings with chain conditions
p. 121-126
A bound for the coefficient $c_4$ for one-sheeted functions in terms of $|c_2|$
p. 127-130
Asymptotic expansions of generalized functions
p. 131-138
A connection between inclusion theorems and the uniform convergence of multiple Fourier series
p. 139-148
Some classes of transcendental numbers
p. 149-154
A problem of Ulam
p. 155-156
Finite minimal not completely factorizable groups
p. 157-162
An inverse problem for an ordinary second-order differential equation
p. 163-166
Subvarieties of codimensionality one and of simple homotopic type
p. 167-175
The approximate solution of singular integral equations
p. 177-186
General form of linear operators which commute with the operation of differentiation
p. 187-195
Graded algebras
p. 197-204
Homologies of distributive structures
p. 205-211
Integral representations and asymptotic expansions of the incomplete probability integral
p. 213-220
Formal solutions of the Hilbert problem for a ring
p. 221-232

Sommaire du Fascicule no. 3

Konstantin Aleksandrovich Zhevlakov
p. 233-237
The right ideals of an alternative ring
p. 239-242
Application of theorems on primes to diophantine problems of a special type
p. 243-250
Cohomologies of parabolic Lie algebras
p. 251-255
Behavior of the solution of a parabolic equation on a characteristic
p. 257-262
Cauchy and Pompey formulas for generalized analytic functions
p. 263-268
An example of a second-order nonhypoelliptic operator with the property of global hypoellipticity
p. 269-274
Rearrangements of series in a Hilbert space
p. 275-280
The finiteness of the set of branch points of a spherical mapping of a narrowing saddle surface
p. 281-286
An example of a finitely defined solvable group without the maximality condition for normal subgroups
p. 287-293
The final $\sigma$-algebra of an inhomogeneous Markov chain with a finite number of states
p. 295-302
Subalgebras of free products of algebras of the variety $\mathfrak{A}_{m,n}$
p. 303-311
Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series
p. 313-324
On the inclusion of generalized H\"older classes
p. 325-336
The conditions for the convergence of isotonic operators in partially ordered sets with convergence classes
p. 337-348

Sommaire du Fascicule no. 4

Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region
p. 349-354
Localization in bounded summation by Cesaro, Riesz, and Abel methods for multiple Fourier series
p. 355-364
A generalization of the Riesz--Fischer theorem
p. 365-372
Finite rings of principal ideals
p. 373-379
Finitely separable and finitely approximatable fully $O$-simple semigroups
p. 381-392
Nature of the growth of positive solutions of a parabolic equation
p. 393-402
Asymptotic bounds for the eigenvalues and eigenvectors of a perturbed linear non-self-conjugate operator
p. 403-412
A lower bound for $n$-diameters
p. 413-419
Unique determination of a convex surface and of a function defined on it
p. 421-424
Manin homomorphisms for elliptic curves over a field of formal power series
p. 425-432
Adams' operation and the symbol for the normed residue
p. 433-441
Compactness of probability measures and the uniform convergence of certain stochastic series
p. 443-451
Quasilinear operators and Hammerstein's equation
p. 453-464
Optimal interpolation of analytic functions
p. 465-476
Free ordered modules
p. 477-487
Some questions in the spectral theory of elliptic operators
p. 489-499
Letter to the editor

Sommaire du Fascicule no. 5

The exact order of approximation of functions by Bernstein polynomials in a Hausdorff metric
p. 501-510
The absolute convergence of orthogonal series
p. 511-516
A note on Jackson's theorem for differentiable functions
p. 517-522
Functions of bounded $p$-variation with given order of modulus of $p$-continuity
p. 523-530
The best approximation of the differentiation operator in the metric of~$L_p$
p. 531-538
Application of bounds for trigonometric sums to the problem of divisors and the mean value of the Riemann zeta-function
p. 539-548
Representation of numbers as the sum of ternary cubic and binary quadratic forms
p. 549-553
The motive of a Weil hypersurface
p. 555-560
An expression for the number of subgroups of a given order of a finite $p$-group
p. 561-568
The theory of Zermelo-Fraenkel sets with Hilbert $\varepsilon$-terms
p. 569-575
Symmetrizable spaces
p. 577-582
The absence of bases from certain separable linear topological spaces
p. 583-589
Structural isomorphisms of finitely defined semigroups
p. 591-600
Indecomposable second-order matrix rings with a finite number of bass representations
p. 601-604
Loop geometries
p. 605-616
A compactly generated lattice with unique complements is distributive
p. 617-620
Estimation of a probability density function and its derivatives
p. 621-626
Sequential estimation of the parameters of diffusion processes
p. 627-638
Bounds in the weak law of large numbers
p. 639-642
Boundary value problems for linear parabolic equations degenerate on the boundary of a region
p. 643-652

Sommaire du Fascicule no. 6

On the 50th anniversary of the formation of the USSR
p. 653-654
A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative
p. 655-664
A note on a theorem of Sunouchi
p. 665-670
The completeness of a functional sequence
p. 671-680
The domain of regularity of the limit function of a sequence of analytic functions
p. 681-692
Some properties of a $\mathrm{P}^2$ primitive
p. 693-700
The simultaneous interpolation and one-sided approximation in the mean of continuous functions
p. 701-712
Approximations of Lie algebras
p. 713-716
Some criteria for the decomposability of finite groups
p. 717-725
Abelian and metabelian groups with regular automorphisms and semiautomorphisms
p. 727-738
Finite groups in which each subgroup of the commutant is invariant
p. 739-746
Invariant subspaces of maximal $J$-dissipative operators
p. 747-754
$C$-compact spaces
p. 755-760
Topological invariants of homogeneous spaces
p. 761-768
The complexity of the realization of almost all functions of the algebra of logic by the method of cascades
p. 769-780
The application of the methods of the theory of logical derivation to graph theory
p. 781-790
Errata