Geodesic

Sommaire du Fascicule no. 1

Global and semilocal theorems on implicit and inverse functions in Banach spaces
p. 1-41
On the local and boundary behaviour of inverse maps on Riemannian manifolds
p. 42-62
Nonlocal balance equations with parameters in the space of signed measures
p. 63-87
On singular log Calabi-Yau compactifications of Landau-Ginzburg models
p. 88-108
More about sparse halves in triangle-free graphs
p. 109-128

Sommaire du Fascicule no. 2

Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space
p. 129-160
A~necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space
p. 161-172
A~hyperbolicity criterion for a~class of diffeomorphisms of an infinite-dimensional torus
p. 173-215
Vinogradov's sieve and an estimate for an incomplete Kloosterman sum
p. 216-234
Values of the $\mathfrak{sl}_2$ weight system on a~family of graphs that are not the intersection graphs of chord diagrams
p. 235-267
Solarity and connectedness of sets in the space $C[a,b]$ and in finite-dimensional polyhedral spaces
p. 268-282

Sommaire du Fascicule no. 3

Lyapunov instability of stationary flows of a~polymeric fluid in a~channel with perforated walls
p. 283-299
On the cohomology rings of partially projective quaternionic Stiefel manifolds
p. 300-318
On the absence of global solutions of a~system of ordinary differential equations
p. 319-340
A~Chisini Theorem for almost generic covers of the projective plane
p. 341-356
Bifurcations changing the homotopy type of the closure of an invariant saddle manifold of a~surface diffeomorphism
p. 357-384
Optimal recovery in weighted spaces with homogeneous weights
p. 385-411
On the problem of periodicity of continued fraction expansions of $\sqrt{f}$ for cubic polynomials~$f$ over algebraic number fields
p. 412-442

Sommaire du Fascicule no. 4

Realization of Fomenko-Zieschang invariants in closed symplectic manifolds with contact singularities
p. 443-465
How many roots of a~system of random Laurent polynomials are real?
p. 466-475
Existence of solutions of nonlinear elliptic equations with measure data in Musielak-Orlicz spaces
p. 476-511
Configuration spaces of hinged mechanisms, and their projections
p. 512-533
Time minimization problem on the group of motions of a~plane with admissible control in a~half-disc
p. 534-555
Extremal functional $L_p$-interpolation on an arbitrary mesh on the real axis
p. 556-577

Sommaire du Fascicule no. 5

On tensor fractions and tensor products in the category of stereotype spaces
p. 579-603
Strong convexity of reachable sets of linear systems
p. 604-623
Asymptotic behaviour of the sphere and front of a~flat sub-Riemannian structure on the Martinet distribution
p. 624-640
Geometry of the Gromov-Hausdorff distance on the class of all metric spaces
p. 641-658
On the universality of the zeta functions of certain cusp forms
p. 659-670
Central extensions and the Riemann-Roch theorem on algebraic surfaces
p. 671-693
Integrals of a~difference of subharmonic functions against measures and the Nevanlinna characteristic
p. 694-733

Sommaire du Fascicule no. 6

The $p$-convexity functor for $L_p(X)$-spaces
p. 734-743
An upper bound for the least critical values of finite Blaschke products
p. 744-751
Canonical geometrization of orientable $3$-manifolds defined by vector colourings of $3$-polytopes
p. 752-793
Self-affine $2$-attractors and tiles
p. 794-830
On metric properties of $C$-capacities associated with solutions of second-order strongly elliptic equations in $\pmb{\mathbb R}^2$
p. 831-843
Hardy-Littlewood-Sobolev inequality for $p=1$
p. 844-889

Sommaire du Fascicule no. 7

Behaviour of Birkhoff sums generated by rotations of the circle
p. 891-924
Entropy of a~unitary operator on $L^2(\pmb{\mathbb{T}}^n)$
p. 925-980
The predicate version of the joint logic of problems and propositions
p. 981-1003
Semiregular solutions of elliptic boundary-value problems with discontinuous nonlinearities of exponential growth
p. 1004-1019

Sommaire du Fascicule no. 8

Representation of invariant subspaces of the Schwartz space
p. 1020-1040
Inner functions of matrix argument and conjugacy classes in unitary groups
p. 1041-1057
On multipliers for Fourier series in~Sobolev orthogonal polynomials
p. 1058-1095
Henselian division algebras and reduced unitary Whitehead groups for outer forms of~anisotropic algebraic groups of the type $A_n$
p. 1096-1156

Sommaire du Fascicule no. 9

Coincidence of set functions in quasiconformal analysis
p. 1157-1186
Integrable billiards on a~Minkowski hyperboloid: extremal polynomials and topology
p. 1187-1221
Distribution of Korobov-Hlawka sequences
p. 1222-1249
Solomyak-type eigenvalue estimates for the Birman-Schwinger operator
p. 1250-1289
Proper cyclic symmetries of multidimensional continued fractions
p. 1290-1317

Sommaire du Fascicule no. 10

Asymptotics for problems in perforated domains with Robin nonlinear condition on the boundaries of cavities
p. 1318-1371
Derivative of the Minkowski function: optimal estimates
p. 1372-1399
Isometric embeddings of bounded metric spaces in the Gromov-Hausdorff class
p. 1400-1414
Some applications of growth in $\mathrm{SL}_2(\pmb{\mathbb{F}}_p)$ to the proof of modular versions of Zaremba's conjecture
p. 1415-1435
A~well-posed setting of the problem of solving systems of linear algebraic equations
p. 1436-1443
Uniformly and locally convex asymmetric spaces
p. 1444-1469
The convex hull and the Carath\'eodory number of a~set in terms of the metric projection operator
p. 1470-1486

Sommaire du Fascicule no. 11

Editorial Preface
Necessary and sufficient conditions for extending a~function to a~Carath\'eodory function
p. 1488-1506
Conformality in the sense of Gromov and holomorphy
p. 1507-1511
On zeros, bounds, and asymptotics for orthogonal polynomials on the unit circle
p. 1512-1529
Counting lattice triangulations: Fredholm equations in combinatorics
p. 1530-1558
A~generalization of the discrete Rodrigues formula for Meixner polynomials
p. 1559-1581
A~direct proof of Stahl's theorem for a~generic class of algebraic functions
p. 1582-1596
On holomorphic mappings of strictly pseudoconvex domains
p. 1597-1619

Sommaire du Fascicule no. 12

Controllability of difference approximation for a~control system with continuous time
p. 1620-1644
Realization of geodesic flows with a~linear first integral by billiards with slipping
p. 1645-1664
A~circle criterion for a~generalized cross graph in terms of minimal excluded minors
p. 1665-1678
Hodge level of weighted complete intersections of general type
p. 1679-1694
Finite groups of bimeromorphic self-maps of nonuniruled K\"ahler threefolds
p. 1695-1714
The Hartogs extension phenomenon in~almost homogeneous algebraic varieties
p. 1715-1739
Convergence criterion for quantum relative entropy and its use
p. 1740-1772