Geodesic

Sommaire du Fascicule no. 1

The Hochschild cohomology ring for modular group
p. 3-39
Sharp estimates involving $A_\infty$ and $L\log L$ constants, and their applications to PDE
p. 40-67
Compactness criteria for spaces of measurable functions
p. 68-93
Justification of the method of averaging for the system of equations with the Navier--Stokes operator in the principal part
p. 94-127
Method for computing waveguide scattering matrices in vicinity of thresholds
p. 128-164
Full investigation of the matrix equation $AX+XB=C$ and specifically of the equation $AX-XA=C$
p. 165-184
Infinitesimal criterion for flatness of projective morphism of schemes
p. 185-195
Extremal bases, geometrically separated domains and applications
p. 196-269
Erratum to the paper ``A.\,I.~Noarov, Stationary diffusion processes with discontinuous drift coefficients''
Addendum to the paper ``A.\,Yu.~Solynin, Continuous symmetrization via polarization''

Sommaire du Fascicule no. 2

The proof of Busemann conjecture for $G$-spaces with non-positive curvature
p. 1-20
Semisimple Hopf algebras with restrictions on irreducible non-one-diemnsional modules
p. 21-44
Pretrees and the shadow topology
p. 45-118
Asymptotic expansions of eigenvalues of the Steklov problem in singularly perturbed domains
p. 119-184
Zero subsequences for Bernstein's spaces and the completeness of exponential systems in spaces of functions on an interval
p. 185-215
Tropical semimodules of dimension two
p. 216-228
Sidelnikov inequality
p. 229-236

Sommaire du Fascicule no. 3

Abelian and Tauberian theorems for integrals
p. 1-88
Characterization of inverse data for one-dimensional two-velocity dynamical system
p. 89-130
Morse--Novikov theory, Heegaard splittings, and closed orbits of gradient flows
p. 131-158
Asymptotic behavior of solutions of the Hamer equation
p. 159-179
A remark on the reproducing kernel thesis for Hankel operators
p. 180-189
Solvability of weighted linear evolution equations with degenerate operator at the derivative
p. 190-206

Sommaire du Fascicule no. 4

On the spectra of difference relations and differential operators on weighted spaces of sequences and functions
p. 1-21
Asymptotics of a~cubic sine kernel determinant
p. 22-91
Independent generators of the $K$-group of a~standard $2$-dimensional field
p. 93-128
Congruence properties of induced representations and their applications
p. 129-147
Atomic operators, random dynamical systems and invariant measures
p. 148-194
Homogenization of elliptic systems with periodic coefficients: operator error estimates in~$L_2(\mathbb R^d)$ with corrector taken into account
p. 195-263

Sommaire du Fascicule no. 5

Ramification of higher local fields, approaches and questions
p. 1-63
Realization and characterization of modulus of smoothness in weighted Lebesgue spaces
p. 64-87
Entries of indefinite Nevanlinna matrices
p. 88-124
Explicit formula for Hilbert pairing on polynomial formal modules
p. 125-141
The tropical Noetherity and Gr\"obner bases
p. 142-163
Asymptotic behavior of solutions to wave equation in domain with a~small hole
p. 164-199
On solutions and Waring's formulae for the system of~$n$ algebraic equations with~$n$ unknowns
p. 200-214
Approximate commutation of a~decaying potential and a~function of elliptic operator
p. 215-227

Sommaire du Fascicule no. 6

The arithmetic of the Lubin--Tate formal module in a~multidimensional complete field
p. 1-9
Entire functions with the least deviation from zero in the uniform and the integral metrics with a~weight
p. 10-28
Imbedding of circular orbits and the distribution of fractional parts
p. 29-68
Algebraic properties of bi-polymatroidal ideals
p. 69-77
Rigidity theorem for presheaves with $\Omega$-transfers
p. 78-98
Some problems of approximation theory of functions on the infinite dimensional torus: analogues of Jackson theorems
p. 99-120
On solutions of convolution equations in spaces of ultradifferentiable functions
p. 121-142
Lower estimates of $p$-modulus and mappings of Sobolev's class
p. 143-171
On the proof of the solvability of a~linear problem arising in magnetohydrodynamics with the method of integral equations
p. 172-197
Riemann--Hilbert approach to the inverse problem for the Schr\"odinger operator on the half-line
p. 198-215