Geodesic

Sommaire du Fascicule no. 1

Derivations of Lie algebras
p. 3-10
Infinite $p$-groups containing exactly $p^2$ solutions of the equation $x^p=1$
p. 11-18
On the congruence of the upper semilattices of recursively enumerable $m$-powers and tabular powers
p. 19-26
On the zeta-functions of systems of quadratic forms
p. 27-34
The sharpening of the bounds on certain linear forms
p. 35-45
Approximation to the transcendental relationship of two algebraic points of the function $\wp(z)$ with complex multiplication
p. 47-60
Multiple rational trigonometric sums and multiple integrals
p. 61-68
Divergent Fourier series with respect to orthonormalized systems of smooth functions
p. 69-78
Estimation of canonical products
p. 79-90
Equivalent conditions for representing analytic functions by exponential series
p. 91-104
The radius of almost convexity of order $\alpha$ in the class of univalent functions
p. 105-112
Estimate of the upper bound on the Gaussian curvature of certain surfaces with boundary
p. 113-120
Classes of points of cubic hypersurfaces defined over finite fields
p. 121-130
The diametral dimension of a~K\"othe space with a~regular basis and its hypersubspaces
p. 131-138
Two characteristic properties of normal distributions in the class~$NH$
p. 139-146
Investigations in the theory of Stochastic equations
p. 147-159

Sommaire du Fascicule no. 2

Identities defining a certain variety of right-alternative algebras
p. 161-176
Finite groups with Frobenius subgroup
p. 177-186
Decomposability of modules into a direct sum of ideals
p. 187-193
Algebraic independence of values of exponential and elliptic functions
p. 195-202
Exactness of a nontrivial estimate in a cyclic inequality
p. 203-205
The Albanese map for manifolds without meromorphic functions
p. 207-214
Lagrange interpolation polynomials and orthogonal Fourier--Jacobi series
p. 215-226
Estimates of linear combinations of near-exponential functions with positive and negative exponents
p. 227-240
The Hardy-Littlewood theorem for the cosine series in a symmetric space
p. 241-246
Normed spaces which satisfy Apollonius' theorem
p. 247-252
Rotation of potential vector fields
p. 253-260
Generalized resolvents of closed dissipative operators in a Hilbert space with a $\mathscr{J}$ metric
p. 261-272
The optimal choice of initial approximations to solutions of regularized equations in the theory of branching
p. 273-278
$L_k^{(2)}$-sufficient subspaces for families with shift and scale parameters
p. 279-291
The Berry--Esseen inequality for the distribution of the least square estimate
p. 293-303

Sommaire du Fascicule no. 3

Simultaneous approximations of exponents by transcendental numbers of certain classes
p. 305-314
Some properties of the set of extreme points of the unit ball of a~Banach space
p. 315-320
Addition theorems for Legendre functions as corollaries of an addition theorem for Gegenbauer polynomials
p. 321-330
Asymptotic formulas for $n$-diameters of certain compacta in $L_2[0,1]$
p. 331-340
Asymptotic distribution of eigenvalues in a~lacuna of the continuous spectrum of the perturbed Hill operator
p. 341-350
The spectrum of an elliptic operator of second order
p. 351-358
Representation of solutions of linear partial differential equations in the form of finite sums
p. 359-363
Exceptional directions for a~convex body
p. 365-371
Tabular powers of maximal sets
p. 373-381
The occurrence of an implication in finitely valid, intuitively improvable formulas of propositional logic
p. 383-390
The synthesis of reliable circuits from unreliable elements
p. 391-400
The integral representation of vector measures on a~completely regular space
p. 401-408
The order of approximation to functions on sets by polynomial operators in the class $S_m$
p. 409-416
Precise values of the best one-sided approximations by splines
p. 417-424
The approximation of conjugate functions by conjugate interpolating sums
p. 425-432
Inequalities containing best approximations and the modulus of continuity of functions in $L_2$
p. 433-438
The multidimensional Jackson theorem
p. 439-444
Classes of functions and Fourier coefficients with respect to complete orthonormal systems
p. 445-463

Sommaire du Fascicule no. 4

$D$ Functor for tensor cross products
p. 465-472
One class of partial sets
p. 473-478
Standardness of automorphisms of transposition of intervals and fluxes on surfaces
p. 479-488
Upper bounds of topologies
p. 489-500
Lorentz sequence spaces
p. 501-510
Some stability properties for analytic operator functions
p. 511-520
The extreme points of the unit ball of certain spaces of operators
p. 521-527
Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities
p. 529-536
$L_p$-spaces of functions analytic in a~region with piecewise analytic boundary
p. 537-548
A~weight space invariant with respect to a~singular linear operator
p. 549-558
On one operator of convolution type in a~quarter plane with an annihilatable symbol
p. 559-570
A~remark on the essential self-adjointness of a~Schr\"odinger operator with a~singular potential
p. 571-580
On the conditional extremum of functionals with discontinuous gradients
p. 581-588
Faithful asymptotics of remainders optimal for some glasses of functions with cubic weight formulas
p. 589-595
A~method for approximating functions of several variables
p. 597-604
Multipliers of Fourier transforms and embedding theorems in spaces of functionals
p. 605-610
On the best choice of nodes for approximation by splines in the metric of $L_p$
p. 611-618
Piecewise-monotonic and rational approximations and uniform convergence of Fourier series
p. 619-624

Sommaire du Fascicule no. 5

Structure of $p$-adic Schottky groups
p. 625-630
Convergence of Ces\`aro means of negative order of functions of bounded generalized second variation
p. 631-644
Cauchy-type $LG^*$ integral
p. 645-653
Best approximation by splines on classes of periodic functions in the metric of $L$
p. 655-664
Tests for the convergence of continued fractions, based on the fundamental system of inequalities
p. 665-674
Perturbations of the Schrödinger equation by potentials with small support
p. 675-680
Conditions for the embedding of classes of sequences and their consequences
p. 681-692
Approximation of a~linear system of second-order differential equations
p. 693-702
Self-conjugacy of abstract differential operators of the hyperbolic type
p. 703-708
Conditions for the self-adjointness of a~quasi-elliptic operator
p. 709-716
Regularity of boundary points for linear equations of parabolic type
p. 717-723
Coercive estimates for a~class of differential operators
p. 725-732
Extension of linear functionals in Banach spaces of measurable functions
p. 733-739
$R^{(\infty)}$ is diffeomorphic to $R^{(\infty)}\setminus\{0\}$
p. 741-746
A~certain approach to the problem of regularization on the basis of the perturbation of linear operators
p. 747-752
Inversion of the oscillatory property of focusing operators
p. 753-760
Axiomatic theory of convexity
p. 761-770
Contractibility of the diagonal of the product of a~hyperelliptic curve with itself
p. 771-774
Approximation of a~class of functions of several variables by certain polynomial operators
p. 775-780
Theorems of Korovkin type
p. 781-786
Exact constants in some converse theorems for approximations by trigonometric polynomials
p. 787-792

Sommaire du Fascicule no. 6

Lie algebras of homotopic groups of minimal Sullivan models
p. 793-804
Torsion-free Abelian groups with cyclic $p$-basic subgroups
p. 805-813
Estimate of a~multidimensional sum with the Legendre symbol for a~polynomial of odd degree
p. 815-824
The existence and uniqueness of a~solution of Poisson's equation for generalized measures in an infinite-dimensional space
p. 825-834
The inclusion of certain classes of functions
p. 835-841
Integrals of logarithmically concave functions
p. 843-845
The Euler--Jacobi equation in variational calculus
p. 847-858
Bounds for eigenvalues of singular differential operators
p. 859-867
Eigenfunctions and associated functions of an $n$-th-order linear differential operator
p. 869-878
A~new characterization of the Poisson distribution
p. 879-882
Letter to the editor
Письмо в редакцию
Letter to the editor
p. 8832-884