Geodesic

Sommaire du Fascicule no. 1

Limits of $A$-integrals taken under the integration sign
p. 3-12
Relation between summability and absolute summability by Ces\`aro means of complex order
p. 13-18
Spectrum of the nonself-adjoint Schr\"odinger operator in unbounded regions
p. 19-26
Inequality for second characteristic values of positive operators of certain classes
p. 27-33
Complexity of the realization of a linear function in the class of $\Pi$-circuits
p. 35-40
Class close to the class of $n$-abelian groups
p. 41-51
Homology algebra of the Koszul complex of a local Gorenstein ring
p. 53-58
Holonomy groups of four-dimensional pseudo-Riemann spaces
p. 59-66
Canonical form of a two-dimensional Riemann manifold
p. 67-70
Application of Eichler's reduction formula to the representation of numbers by certain quaternary quadratic forms
p. 71-76
Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator
p. 77-82
Region of positivity of solutions of elliptic equations
p. 83-87
Solution of Dirichlet's problem for the equation $\Delta u=-1$ in a convex region
p. 89-92
Some remarks concerning the individual ergodic theorem of information theory
p. 93-103

Sommaire du Fascicule no. 2

Approximation of classes of differentiable functions
p. 105-112
A cyclic inequality
p. 113-119
Approximation by rational functions in complex regions
p. 121-130
Uniform and tangential harmonic approximation of continuous functions on arbitrary sets
p. 131-142
Second solutions of equations involving positive operators in degenerate cases
p. 143-149
Integral inequalities for Volterra's equation in a Banach space with a cone
p. 151-160
A functional equation
p. 161-170
A problem concering characteristic functions of linear operators
p. 171-180
Foliation without limit cycles
p. 181-191
Imbedding of pseudo-Riemannian manifolds in a pseudo-euclidean space
p. 193-198
Irreducible representations of finitely generated nilpotent torsion-free groups
p. 199-210
The existence of maximal invariant subalgebras in simple Cartan-type Lie algebras
p. 211-222
Finite factorizable groups
p. 223-231

Sommaire du Fascicule no. 3

Twist of deformation characteristics
p. 233-238
Lifts as isomorphisms of graded algebras
p. 239-247
Involution of manifolds with a set of fixed points diffeomorphic to real projective space
p. 249-252
Husimi trees
p. 253-262
Number of nonisomorphic subgraphs in an $n$-point graph
p. 263-273
Component partially ordered sets
p. 275-283
Representations of finite universal algebras in finite semigroups
p. 285-290
Number of invariant measures with maximal entropy for translation in the space of sequences
p. 291-302
Spectra of certain classes of operators in Hilbert space
p. 303-310
Generalization of two theorems of M.\,I.~Kadets concerning the indefinite integral of abstract almost periodic functions
p. 311-321
Sets of points of discontinuity and differentiability of certain operators
p. 323-331
Expansions in characteristic functions of the nonself-adjoint Schr\"odinger operator
p. 333-342
Approximation of functions on an $m$-dimensional sphere by Ces\`aro means of Fourier--Laplace series
p. 343-353
Best-possible bounds of Fourier coefficients of functions of bounded variation with respect to the Haar system
p. 355-363

Sommaire du Fascicule no. 4

Completely integrable equations on homogeneous spaces
p. 365-373
A~criterion for the $p$-solubility of finite groups
p. 375-383
Smoothness criteria for a~Banach space to be convertible into a~Hilbert space
p. 385-390
A~discreteness criterion for the spectrum of a~quasielliptic operator
p. 391-399
Discreteness of the spectrum and completeness of systems of characteristic and associated vectors of second-order nonself-adjoint differential operators
p. 401-408
The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory)
p. 409-414
Stabilization of solutions of linear differential equations in Hilbert space
p. 415-420
A~sufficient condition for the oscillation of solutions of a~high-order differential equation
p. 421-423
A~combination of the finite-sum and Monte Carlo methods for the solution of integral equations of the second kind
p. 425-434
Almost affine functions
p. 435-440
Algebraic-polynomial approximation of functions satisfying a~Lipschitz condition
p. 441-447
Theorems concerning the uniqueness of Haar series for summation methods
p. 449-458
Divergence everywhere of rearranged Fourier series of continuous functions
p. 459-465
Some problems in approximation theory and in entire-function theory
p. 467-475

Sommaire du Fascicule no. 5

Best approximations in $L_[0,infty)$ of the differentiation operator
p. 477-481
Accurate estimates of deviations of spline approximations to classes of differentiable functions
p. 483-494
Some properties of the modulus of continuity
p. 495-500
A~relation between spline approximation and the problem of the approximation of one class by another
p. 501-510
A~class of orthogonal polynomials
p. 511-520
A~generalization of the Laurent series
p. 521-531
A~class of trigonometric series
p. 533-542
The completion of solvable groups
p. 543-550
Finite primary groups, $p\ne2$, with invariant not completely splittable subgroups
p. 551-560
Analogs of Chevalley modules in Hochschild cohomology theory
p. 561-568
Cohomologies and analytic differential forms
p. 569-573
Normal numbers of piecewise-linear manifolds
p. 575-583
A~limit theorem for a~supercritical branching process
p. 585-592
Some problems in approximation theory
p. 593-607

Sommaire du Fascicule no. 6

Expandibility in eigenfunctions of the Laplacian in a~two-dimension region
p. 609-616
The order of approximation of continuous functions by certain linear means of their Fourier series
p. 617-627
Rearrangements of differentiable functions
p. 629-638
Conditions for the imbedding of the function class $W_f^1(G,\,A)$ in the space $C(G)$
p. 639-650
Periodic solutions of evolutionary equations
p. 651-662
A~condition for quasiconformality
p. 663-666
Asymptotic properties of the spectrum of a~differential operator in a~space of vector-valued functions
p. 667-676
The negative part of the spectrum of the operator $(-1)^m\Delta^mu+qu$
p. 677-686
Verbal subgroups of complete direct products of groups
p. 687-692
Linearly ordered rings which are not $o$-epimorphic images of ordered free rings
p. 693-697
Subgroups of general and special linear groups over a~ring
p. 699-708
Level surfaces of a~function defining a~Riemann metric
p. 709-711
Time of the first departure from an~interval for a~continuous homogeneous random walk on a~line
p. 713-721
The infinitely differentiable extension of systems of functions
p. 723-734
Letter to the editor
Letter to the editor