Geodesic

Sommaire du Fascicule no. 1

On a~problem of Beurling
p. 1-19
Nonexistence of torically maximal hypersurfaces
p. 20-31
Homotopy theory of normed sets~II. Model categories
p. 32-95
About orderly covering mappings and Chaplygin's type integral inequalities
p. 96-127
Ultrasolvable and Sylow extensions with cyclic kernel
p. 128-138
Discrete universality of the Riemann zeta-function and uniform distribution modulo~1
p. 139-150
Adelic quotient group for algebraic surfaces
p. 151-169
On explicit solutions of the Hankel equations
p. 170-207

Sommaire du Fascicule no. 2

``Keep the traces of Man in the sand of time!'' (V.\,I.~Smirnov)
p. 3-17
Integral inequalities of Hardy and Rellich in domains satisfying an exterior sphere condition
p. 18-44
Heat flow for a~class of quadratic functionals with nondiagonal principal matrix. Existence of a~smooth global solution
p. 45-75
Multipliers in Bessel potential spaces: the case of smoothness indices of different sign
p. 76-96
Entire functions with the least deviation from zero in generalized Orlicz classes
p. 97-113
Homogenization and two-scale convergence in Sobolev space with oscillating exponent
p. 114-144
Unconditional bases in weakly weighted spaces of entire functions
p. 145-162
On asymptotic expansions of generalized Bergman kernels on symplectic manifolds
p. 163-187
On the behavior of waveguide scattering matrices near thresholds
p. 188-237
Remarks on Liouville type theorems for steady-state Navier--Stokes equations
p. 238-248
On a~class of functional-differential operators satisfying the Kato conjecture
p. 249-273
On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a~free interface
p. 274-317
A uniqueness theorem and subharmonic test functions
p. 318-334

Sommaire du Fascicule no. 3

On the mathematical papers of Mikhail Zakharovich Solomyak
p. 3-29
A general trace formula for the differential operator on a~segment with the last coefficient perturbed by a~finite signed measure
p. 30-54
Radial and logarithmic refinements of Hardy's inequality
p. 55-65
Symplectic capacity and the main triangle projection
p. 66-75
Asymptotics of the ground state energy in the relativistic settings
p. 76-92
A functional model for the Fourier--Plancherel operator truncated to the positive semiaxis
p. 93-111
A comparison theorem for super- and subsolutions of $\nabla^2u+f(u)=0$ and its application to water waves with vorticity
p. 112-128
Solvability criteria for the Neumann $p$-Laplacian with irregular data
p. 129-139
On some properties of the time evolution of quadratic open quantum systems
p. 140-168
Homogenization of a~stationary periodic Maxwell system in a~bounded domain with constant magnetic permeability
p. 169-209
Maxwell operator in a~cylinder with coefficients that do not depend on the longitudinal variable
p. 210-249
Bound on the number of negative eigenvalues of two-dimensional Schr\"odinger operators on domains
p. 250-272
Edge switching transformations of quantum graphs~-- a~scattering approach
p. 273-285
A new representation of Hankel operators and its spectral consequences
p. 286-310

Sommaire du Fascicule no. 4

On the defect numbers of operators generated by Jacobian matrices with operator entries
p. 1-26
The order of �~Dirichlet series with an irregular distribution of the exponents in the half-strip
p. 27-46
On approximation by special differences of simplest fractions
p. 47-60
Spectral estimates for Schr\"odinger operators on periodic discrete graphs
p. 61-106
The variance of the $\ell_p^n$-norm of the Gaussian vector, and Dvoretzky's theorem
p. 107-139
Toeplitz and Hankel operators from Bergman to analytic Besov spaces of tube domains over symmetric cones
p. 140-178
\u Svarc--Milnor quasi-isometries for Fuchsian groups
p. 179-191

Sommaire du Fascicule no. 5

Spectral theory of rank one perturbations of normal compact operators
p. 1-56
On Chow weight structures without projectivity and resolution of singularities
p. 57-83
Spectral geometries on a~compact metric space
p. 84-111
Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts
p. 112-148
An analog of the Sobolev inequality on a~stratified set
p. 149-158
Multi-Hamiltonian property of a~linear system with quadratic invariant
p. 159-168
The stability conditions of linear periodic systems of ordinary differential equations
p. 169-191

Sommaire du Fascicule no. 6

Nets of graded $C^*$-algebras over partially ordered sets
p. 1-19
Beurling's theorem, Davenport's formula, and the Riemann hypothesis
p. 20-42
On the motivic commutative ring spectrum~$\mathbf{BO}$
p. 43-96
On boundary extension and equicontinuity of families of mappings in terms of prime ends
p. 97-146
Overgroups of elementary block-diagonal subgroups in the classical symplectic group over an arbitrary commutative ring
p. 147-199