Geodesic

Sommaire du Fascicule no. 1

Conditions for the equality to zero of the product of an infinitely differentiable function by a generalized one
p. 3-8
Sharp estimates of approximation of periodic continuous functions by regular splines
p. 9-20
Best approximations of infinitely differentiable functions in the space~$L_s$
p. 21-32
Uniform boundedness of some trigonometric polynomials of many variables
p. 33-39
Feynman's formula in a phase space for a certain class of systems of pseudodifferential equations
p. 40-49
Theory of invertibility of periodic operators
p. 50-59
Smoothness of solutions of the Cauchy problem for degenerate parabolic equations
p. 60-72
Integral form of the flow theorem
p. 73-78
Singularities of the gradient of the solution of the Neumann problem at the vertex of a cone
p. 79-93
Hilbert space as the space of retractions of an interval
p. 94-131
Factorization lemma for open maps of compacta
p. 101-114
Analogs of cantor manifolds for transfinite dimensions
p. 115-119
A supplement to W.~Richter's theorem
p. 120-123
The law of large numbers for moving averages of independent random variables
p. 124-131
Algebraic invariants of topological conjugacy of solenoids
p. 132-144
An estimate for probabilities of large deviations
p. 145-156
Multidimensional limit theorems for a branching process with a single type of particles
p. 157-165

Sommaire du Fascicule no. 2

Criterion for a finite group to be $p$-closed in terms of the degrees of its characters
p. 177-179
A new $M$-curve of degree 8
p. 180-186
Compactness of the group of polarization-preserving automorphisms
p. 187-193
Widths of a class of periodic functions defined by a differential operator
p. 194-206
Growth of the degrees of polynomial bases and approximation of trigonometric projectors
p. 207-214
Equivalence of the logarithms of the maximum modulus and the maximum term of an entire series of Dirichlet
p. 215-226
Bases of symmetric function spaces
p. 227-234
Properties of solutions of conjugacy problems for certain irregular equations
p. 235-243
Boundedness of the generalized solutions of elliptic equations with nonpower nonlinearities
p. 244-255
A diffraction problem for strongly nonlinear equations
p. 256-261
Necessary and sufficient conditions for invertibility of nonautonomous functional-differential operators
p. 262-267
Generalized surgery of three-dimensional manifolds and representations of homology spheres
p. 268-278
Lindel\"of number of the space of closed groups
p. 279-287
Certain properties of two-valued measures and the conditions of universal integrability
p. 288-297
Derivations of quasimatrix algebras
p. 298-304
Conditions for massiveness of the range of the derivation of a Banach algebra and associated differential operators
p. 305-314
Mean values of multiplicative functions on arithmetic progressions
p. 315-325
Recurrence of absolute-difference chains
p. 336-342

Sommaire du Fascicule no. 3

Quadratic forms over $n$-dimensional local fields
p. 353-357
Carath\'eodory--Fej\'er problem in~$C^n$
p. 358-368
Variational inequalities for quasilinear operators of hyperbolic type
p. 369-380
Quadratic bundles of ordinary differential bundles
p. 381-393
First boundary problem for a nonclassical equation
p. 394-402
Dependence of the solution of the Cauchy problem for a system of singular differential equations on a parameter
p. 403-410
Hausdorff--Young inequality for the eigenfunctions and associated functions of a differential operator of second order
p. 411-421
Wahlquist--Estabrook type coverings over the heat equation
p. 422-434
A general mixed boundary-value problem for the Laplace equation
p. 435-444
Rate of stabilization of the solutions of an initial-boundary-value problem for a nonlocal evolution equation
p. 445-454
Homeomorphisms of free topological groups do not preserve compactness
p. 455-462
Combinatorial properties of positive bases
p. 463-474

Sommaire du Fascicule no. 4

Aleksei Fedorovich Leont'ev
p. 483-493
Number of different prime divisors of recurrence sequences
p. 494-507
Invertibility of the group ring of a right-ordered group over a skew field
p. 508-518
Jung constant in $l_1^n$
p. 519-526
Well-posedness of a mixed problem for some classes of equations well-posed in the petrovskii sense
p. 527-536
Sufficient conditions for the concavity of the solution of the dirichlet problem for the equation $\Delta u=-1$
p. 537-542
Solution of a system of linear equations over a commutative ring
p. 543-548
Weighted inequality of hardy type for elliptic operators
p. 549-558
Test for minimality of lagrangian submanifolds in Kдhlerian ones
p. 559-571
Hypermaps of continua
p. 572-580
Theorem on continuous extension of a multivalued function and its applications
p. 581-593
Compact factor spaces of topological groups and haydon spectra
p. 594-602
Depth and polynomial equivalence of formulas for closed classes of two-valued logic
p. 603-612
Approximation of the roots of matrix equations by power series
p. 613-621

Sommaire du Fascicule no. 5

Analytic continuation of a Dirichlet series
p. 625-630
Some locally nilpotent rings and their adjoined groups
p. 631-641
A conjecture on the number of characters in a $p$-block
p. 642-649
Systems of orthogonal polynomials explicitly represented by the Jacobi polynomials
p. 650-659
Behavior of the sum of a Dirichlet series in halfstrips
p. 660-669
Absolutely representing families
p. 670-680
A method for the asymptotic expansion of Cauchy-type integrals
p. 681-684
Degeneracy domain of a nonlinearity in the Hamilton--Jacobi--Bellman equation with constant coefficients
p. 685-690
Necessary optimality conditions in systems with lags and phase constraints
p. 691-702
Attracting sets and systems without uniqueness
p. 703-711
Character of propagation of disturbances in the Cauchy problem for quasilinear first-order equations
p. 712-722
Computable numberings to which noncomputable numberings are positively reducible
p. 723-728
Disjunctive property of superintuitionist and modal logics
p. 729-738
Estimation of the rate of convergence to the normal law of truncated linear combinations of order statistics
p. 739-746
Some remarks on sums of dependent components
p. 747-750
Precise values of turan numbers
p. 751-760

Sommaire du Fascicule no. 6

$S$-integral solutions of a class of norm diophantine equations
p. 769-775
Approximation of periodic functions in $L_p$ by linear positive methods and multiple moduli of continuity
p. 776-785
Banach--Saks and Mazur properties in Banach spaces
p. 786-789
Jackson-type theorems for monotone approximation of functions by trigonometric polynomials
p. 790-809
Spaces dual relative to the Mellin--Whittaker integral transform
p. 810-818
Some properties of characteristic functions of the Sturm--Liouville operator with discontinuous coefficients
p. 819-830
Asymptotic of a solution of contrast-structure type
p. 831-841
Isometric immersion in $E^3$ of extended strips on manifolds of type~$L$
p. 842-853
Wright and Stepanov--Wright coefficients
p. 854-862
Reconstruction of $k$-orbits of a permutation group
p. 863-872
Automorphism groups of the algebra of finite-valued functions preserving a partition of the set~$E_k$
p. 873-885
Rapid parallel calculation of degrees in a quotient ring of polynomials over a finite field
p. 886-894
Mean value of a function of a random walk up to the time of the first passage to the semiaxis
p. 895-901