Geodesic

Sommaire du Fascicule no. 1

Induction in the theory of zeta functions
p. 3-63
Solution in a~weighted Hцlder space of an initial-boundary value problem for a~second-order parabolic equation with a~time derivative in the conjugation condition
p. 64-94
The corona theorem and the angles between invariant subspaces
p. 95-109
Deviation theorems for solutions of linear ordinary differential equations and applications to parallel complexity of sigmoids
p. 110-126
Deviation theorems for pfaffian sigmoids
p. 127-131
SL(2)-embeddings with log-terminal singularities
p. 132-139
Derivations and central extensions of the Lie algebra of formal pseudodifferential operators
p. 140-158
On extensions of current groups and their representations
p. 159-171
The Riemann boundary value problem on nonsmooth arcs, and fractal dimensions
p. 172-202
Wreath products and factorizable groups
p. 203-238

Sommaire du Fascicule no. 2

Quadratic comparisons and rationality of local zeta series of ternary and quaternary quadratic forms
p. 3-52
Integrability in the Hamiltonian Сhern--Simons theory
p. 53-66
Construction of the classical $R$-matrices for the Toda and Calogero models
p. 67-89
Jackson integral representations for solutions of the Knizhnik--Zamolodchikov quantum equation
p. 90-137
The matrix Riemann--Hilbert problem and differential equations for correlation functions of the $XXO$ Heisenberg chain
p. 138-151
Dilogarithm identities, partitions, and spectra in conformal field theory
p. 152-175
Vacuum curves of $\mathcal L$-operators associated with the six-vertex model
p. 176-194
Representations of $Q$-Minkowski space algebra
p. 195-205
On pentagon and Tetrahedron equations
p. 206-214
On the problems with background independence in string theory
p. 215-226
Dynamic $r$-matrices for the elliptic Calogero--Moser model
p. 227-237
Chiral lattice fermions
p. 238-247
What are we quantizing in integrable models of field theory?
p. 248-261
Higher order analog of Сhevalley--Eilenberg complex and deformation theory of $n$-gebras
p. 262-272

Sommaire du Fascicule no. 3

Topological properties of Legendre projections in contact geometry of wave fronts
p. 1-16
The scattering matrix for a~perturbation of a~periodic Schr\"odinger operator by decreasing potential
p. 17-39
On some developments of the $\overline\partial$-dressing method
p. 40-58
The complex~WKB method for the Harper equation
p. 59-83
The Zagier formula with the Eisenstein--Maass series at odd integer points, and the generalized Selberg zeta function
p. 84-93
Locally transversal symbolic dynamics
p. 94-106
$SU(2)$~WZNW model at higher genera from the gauge field functional integral
p. 107-117
String equation.~II. Physical solution
p. 118-140
Parabolic equations generated by symmetric functions of the eigenvalues of the Hessian or by the principal curvatures of a~surface. I.~Parabolic Monge-Amp\'ere equations
p. 141-160
Gauss hypergeometric function and quadratic $R$-matrix algebras
p. 161-184
Nonphysical sheet for perturbed Jacobian matrices
p. 185-199
Constructions of uniform distributions in terms of geometry of numbers
p. 200-230
Surfaces with inclination-dependent mean curvature
p. 231-241
Topological quantum groups, star products and their relations
p. 242-251
Induced extended calculus on the quantum plane
p. 252-264
Corrections to quantized charge transport in quantum Hall systems
p. 264-272
Correction to the paper: A.\,N.~Varchenko, V.\,O.~Tarasov ``Jackson integral representations for solutions of the Knizhnik--Zamolodchikov quantum equation''

Sommaire du Fascicule no. 4

Theory of decreasing sequences of measurable partitions
p. 1-68
Weighted polynomial approximation and quasianalyticity for general sets
p. 69-89
Plane geodesically complete subsets in spaces of nonpositive curvature
p. 90-100
H\"older estimates for equations of fast diffusion type
p. 101-142
Krein's theorem for separately subharmonic functions
p. 143-156
Selfadjoint elliptic problems: scattering and polarization operators on the edges of the boundary
p. 157-186
Sufficient conditions for the absolute stability of optimal passive scattering systems
p. 187-203
On coproducts of quasi-triangular Hopf algebras
p. 204-222

Sommaire du Fascicule no. 5

Solvable operator algebras
p. 1-87
Regular representation of the quantum group $sl_q(2)$ ($q$ is a~root of unity)
p. 88-125
A~hyperbolic equation with a~large parameter, with low-order terms, and wave hierarchy
p. 126-171
On Hilbert spaces of generalized analytic functions that are associated with the one-dimensional Dirac operator
p. 172-230
Floquet solutions for Hamiltonians over su(2) from the point of view of symplectic geometry and coherent states
p. 231-251
Phase portraits of Sobolev-type semilinear equations with a~relatively strongly sectorial operator
p. 252-272

Sommaire du Fascicule no. 6

An initial-boundary value problem with a~Venttsel' boundary condition for parabolic equations not in divergence form
p. 1-29
Some model problems for second-order parabolic equations with a~time derivative in the boundary conditions
p. 30-50
Approximation of Maass forms by analytic modular forms
p. 51-64
Modular forms and moduli spaces of abelian and~$K3$ surfaces
p. 65-102
Mixed volume of polyhedral functions
p. 103-114
On the principle of imperceptibility of the boundary in the theory of stable processes
p. 115-127
Partial regularity of the deformation gradient for some model problems in nonlinear twodimensional elasticity
p. 128-153
Polynomial $D$-approximations that exponentially decrease strictly inside a~continuum
p. 154-184
Addendum to the paper: P.\.P.~Kargaev ``On Hilbert spaces of generalized analytic functions that are associated with the one-dimensional Dirac operator''