Geodesic

Sommaire du Fascicule no. 1

A note concerning the Kram\'er-Rao and Bhattacharyya inequalities in statistical estimation theory
p. 3-7
A condition for the extinction of a bounded branching process
p. 9-18
A lower bound for linear forms in values of certain hypergeometric functions
p. 19-28
The Chebyshev point of a system of translations of subspaces of a Banach space
p. 29-40
Best approximations of continuous functions by spline functions
p. 41-46
The convergence of trigonometric series to functions of bounded variation
p. 47-58
A property of Fourier series
p. 59-65
Construction of Banach spaces using a generalization of the scalar product
p. 67-76
Exact functions on manifolds
p. 77-83
Characterization of the simple groups $PSL(2,2^n)$ and $Sz(q)$ by biprimary subgroups
p. 85-93
Some remarks concerning the infinite distributivity of lattices
p. 95-103
Simple bases and the number of functions in certain classes introduced by Post
p. 105-114
The loss of the property of reducibility by systems of linear differential equations with almost periodic coefficients
p. 115-120
$P$-separation of variables in Laplace's equation
p. 121-127

Sommaire du Fascicule no. 2

Convergence of orthogonal series to $+\infty$
p. 129-136
Classes characterized by best-possible approximation by spline functions
p. 137-148
A class of functions of a real variable
p. 149-158
Some inequalities of the type encountered in imbedding theorems
p. 159-167
A class of nuclear spaces
p. 169-179
The existence of a solution of a linear integral equation
p. 181-185
Completely linear functionals in partially ordered spaces
p. 187-195
Regular and singular Hermitian operators
p. 197-203
A transformation of the circle
p. 205-216
Scattering at a strongly singular potential
p. 217-228
A theorem concerning the existence of periodic solutions of systems of differential equations with delayed arguments
p. 229-234
Representations of third-order matrix rings
p. 235-244
Flat cyclic modules
p. 245-250
Uniqueness of the solution of Christoffel's problem for nonclosed surfaces
p. 251-257
The Siegel--Brauer theorem concerning parameters of algebraic number fields
p. 259-263
A note concerning passive linear systems
p. 265-271

Sommaire du Fascicule no. 3

Asymptotic properties of a solution of a boundary-value problem
p. 273-284
Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold
p. 285-295
An inverse problem for periodic Jacobi matrices
p. 297-307
Errors in approximate solutions of Cauchy's problem for a first-order quasilinear equation
p. 309-320
Homogeneous regions on the conformal sphere
p. 321-328
Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem
p. 329-338
Integral representation of a class of analytic functions
p. 339-350
Influence of deformation of the boundary on certain conformal properties or regions (regions in V.\,I.~Smirnov's Class~$S$)
p. 351-359
Effective bounds for the number of solutions of certain diophantine equations
p. 361-371
Torsion-free groups with factor-groups on their hypercenter which are periodic
p. 373-383
Threshold theorems for a stochastic model of an epidemic with natural immunization
p. 385-392
Random flows generated by random processes (properties of random flows, level-crossing problems)
p. 393-407

Sommaire du Fascicule no. 4

Some comments on branching processes
p. 409-418
Zeros of the Riemann zeta-function
p. 419-429
Approximation of functions by partial sums of Fourier series in polynomials orthogonal on an interval
p. 431-441
Constructive properties of functions with variable smoothness
p. 443-449
Linear extensions of dynamic systems and the reducibility problem
p. 451-462
Linear integro-differential equations with almost-periodic coefficients
p. 463-473
Convergent sequences of linear operators in semiordered spaces
p. 475-486
Analog of the secant method for Banach spaces
p. 487-492
Stability of systems of generators of the algebra $C$ on manifolds
p. 493-498
Free $n$-groups
p. 499-507
Topological abelian groups with a Dedekind lattice of closed subgroups
p. 509-519
Intersection of plane boundaries of a polytope with acute angles
p. 521-527
Partially rational trigonometric sums
p. 529-540

Sommaire du Fascicule no. 5

On the fiftieth birthday of S.\,B.~Stechkin
p. 543-544
Almost convex and Chebyshev sets
p. 545-550
Best approximations of functionals on certain sets
p. 551-562
The possibility of periodic spline interpolation
p. 563-573
The order of approximation by partial sums of lacunary series in Banach spaces
p. 575-582
The existence of a~best approximating element in $(F)$-space with integral metric
p. 583-594
Conditions for the localization of partial sums of S.\,M.~Nikol'skii's class of multiple trigonometric Fourier series
p. 595-606
Convergence of Riemann sums for functions which can be represented by trigonometric series with coefficients forming a~monotonic sequence
p. 607-618
Quasiconvex uniform-convergence factors for Fourier series of functions with a~given modulus of continuity
p. 619-623
Some estimates of solutions of degenerate $(k,0)$-elliptic equations
p. 625-634
Newton's method for the solution of systems of equalities and inequalities
p. 635-640
Trigonometric sums with exponential functions and the distribution of signs in repeating decimals
p. 641-652
Characteristic properties of strong integral and strong $B$-integral self-adjoint operators
p. 653-661
Some properties of Shannon functions
p. 663-674
Solid angles subtended by multidimensional ellipsoids
p. 675-679

Sommaire du Fascicule no. 6

Ideally $\mathcal{J}$-decomposable semigroups
p. 681-691
The construction, in explicit form, of an analog of Cauchy's kernel on Riemann surfaces of certain algebraic functions
p. 693-701
Decomposition of highest-weight representations of a semisimple Lie algebra into representations of regular subalgebras
p. 703-710
The homotopic type of certain compact semigroups
p. 711-719
The number of strongly connected directed graphs
p. 721-732
A complete description of convex bodies possessing the Markov property
p. 733-740
Conditions for the self-adjointness of the Schrodinger operator
p. 741-751
Stability of a linear difference system with random parameters
p. 753-760
A condition for the asymptotic stability of a linear homogeneous system whose principal part is a Jordan matrix
p. 761-772
A criterion for the oscillation of solutions of second-order ordinary differential equations
p. 773-776
Fundamental systems for differential equations with operator coefficients
p. 777-782
A method of constructing integrable linear equations and its application to Hill's equation
p. 783-786
Lattice points in a circle whose distances from the center arein an arithmetic progression
p. 787-798
Fuchsian modules
p. 799-810
Boundedness of trigonometric integrals and polynomials in the $L$ metric
p. 811-822
Letter to the editor concerning the communication ``A Property of Fourier Series'' by A.\,M.~Rubinov
p. 823-825
Diameter of the set of midpoints of chords of a~bounded closed set