Geodesic

Sommaire du Fascicule no. 1

Lower bound for a cyclic sum
p. 3-7
Infiniteness of the group~Nil
p. 9-12
Validity of A.\,N.~Kolmogorov's theorem for conjugate functions of several variables
p. 13-21
N.\,N.~Luzin's problems on imbeddability and decomposability of projective sets
p. 23-39
Space of analytic functions with prescribed growth near the boundary
p. 41-57
A theorem on the estimation of the resolvent of operator-valued functions
p. 59-70
Representation of an arbitrary vector-valued function by the limit of the Laplace integral of the solution of a nonregular spectral problem
p. 71-74
Uniqueness of extension of solutions of hyperbolic equations
p. 75-82
Existence of a degree of extendability of a partially recursive function, which is not a degree of separability
p. 83-88
Realization of functions of a logic algebra, not defined everywhere
p. 89-96
Partial order relation generated by distributions of the number of occupied cells
p. 97-102
Existence and continuous dependence of the solution of a system of operator equations
p. 103-114
Maximal $L_n$ star-shaped sets
p. 115-120
Example of a noncontinuable holomorphic transformation of an analytic hypersurface
p. 121-123

Sommaire du Fascicule no. 2

Approximation of differentiable functions by Fej\'er sums
p. 129-140
Periodic multipliers of Fourier integrals
p. 141-150
Mixed $q$-integral of the $p$-variation and mixed differentiability in~$L_p$ of functions from~$L_q$
p. 151-167
Global controllability of conditionally periodic linear system
p. 169-174
An integral representation of the solution of the Darboux problem
p. 175-186
Necessary conditions in a nonsmooth problem of optimal control
p. 187-197
Question of the approximation of the solution of a homogeneous convolution equation by elementary solutions
p. 199-211
Cotype and type of Lorentz function spaces
p. 213-221
Completeness of modal logics with prefinite width
p. 223-228
Duality for nonproper problems in linear programming
p. 229-238
Ergodic lemma for additive functionals of Markov process
p. 239-248
Convergence of the finite-dimensional distributions of the ``slow'' component of a certain queuing system
p. 249-259
Cardinality of bicompacta with the weak first countability axiom
p. 261-268

Sommaire du Fascicule no. 3

Diophantine equation $x^3-y^2=k$ and Hall's conjecture
p. 273-275
Transitive permutation groups with a solvable one-point stabilizer
p. 277-284
The best approximation of the classes of functions $W_p^\alpha(S^n)$ by polynomials in spherical harmonics
p. 285-293
Sharp estimates of the Fourier coefficients of summable functions and $K$-functionals
p. 295-302
Convergence of expansions of ordinary differential operators in Fourier series
p. 303-307
Divergence of some spectral resolutions of functions of~$L_1^\alpha$
p. 309-314
Inversion of the generalized Riesz potentials with the symbols that degenerate linearly on a hyperplane
p. 315-323
Elements of best approximation relative to subspaces of finite codimension
p. 325-341
Continuity of the metric projection onto subspaces of finite codimension in~$C(Q)$
p. 343-353
Passages to the limit in sets of groups of motions and lie algebras of spaces of constant curvature
p. 355-364
Albanese mapping for real algebraic varieites
p. 365-374
Normality of the exponent in Ochan topologies
p. 375-484
Sums of random variables, any~$r$ of which are independent
p. 385-399
Large deviations for branching processes with immigration
p. 401-410
Gronwall's lemma and stochastic equations for components of semimartingales
p. 411-423

Sommaire du Fascicule no. 4

An equation involving prime numbers
p. 433-442
Asymptotic formula for the number of solutions of a diophantine equation
p. 443-457
Structure of group bases of the group ring
p. 459-468
Almost-linear varieties of semigroups
p. 469-475
Generalization of the Hadamard product in~$C^n$
p. 477-482
Algebraic dimensions of linear varieties of continuous and differentiable directions of measures in Hilbert space
p. 483-491
Complemented subspaces of symmetric function spaces
p. 493-497
Expansion of certain parabolic means
p. 499-510
Approximate solution of equations of second kind
p. 511-516
Asymptotic properties of difference schemes of maximum odd order of accuracy
p. 517-528
Estimation of the maximum value of a signal in Gaussian white noise
p. 529-536
Limit theorems for a critical branching process with immigration
p. 537-548
Discrimination of hypotheses for Gaussian measures, and a geometrical characterization of Gaussian distribution
p. 549-556
Estimates for integral Fourier operators with complex phase
p. 557-576
Asymptotic properties of solutions of certain classes of nonautonomous ordinary differential equations
p. 577-588

Sommaire du Fascicule no. 5

Mean for the sum of elements over a class of finite continued fractions
p. 593-600
Regular compact factorization of integral operators in~$L_p$
p. 601-606
Conditions for the existence and strong uniqueness of a projection with norm~1
p. 607-612
Banach--Saks exponent of certain Banach spaces of sequences
p. 613-625
Weak continuity of a metric projection onto a bounded set in a Banach space
p. 627-637
Structure of a set of summability of power series
p. 639-650
Uniqueness sets for complete orthonormal systems
p. 651-656
Approximation of functions of finite generalized variation by rational functions
p. 657-668
Precise constant in Jackson's inequality for continuous periodic functions
p. 669-674
Unconditional basicity of the Haar system in the spaces $\Lambda_\omega^1$
p. 675-684
Bounded divergence of series with respect to a Walsh system
p. 685-697
Absolute and conditional convergence of series of continuous functions
p. 699-705
Suprema of the Fourier coefficients and of certain more general functionals
p. 707-720
A problem of best approximation of functions of several variables
p. 721-727
Homogeneous domains with piecewise-smooth boundaries
p. 729-735
Regeneration of a second-order difference equation by the spectral matrix
p. 737-746

Sommaire du Fascicule no. 6

Diophantine equations over function fields
p. 753-764
Analog of the Brownawell--Waldschmidt theorem on transcendental numbers
p. 765-775
Spectrum of partial admissibility of finite quasigroups (latin squares)
p. 777-788
Conditions for the existence of a system of different set representatives
p. 789-798
Finite commutative rings with special types of groups of units
p. 799-807
A combinatorial proof of the enumeration theorem for exponentiation of groups
p. 809-816
Lebesgue constants of polyhedra
p. 817-822
Existence of extremal functions in inequalities for derivatives
p. 823-834
Spline-trigonometric bases in~$L_2$ and interpolation of entire functions of exponential type
p. 835-840
Equation of the solution funnel of a differential inclusion
p. 841-852
An estimate for the number of integral points on certain surfaces of second order
p. 853-868
Existence of certain block designs
p. 869-887
Some probability properties of regularized solutions
p. 889-899
On Salem Prize awarding of A.\,B.~Aleksandrov