Geodesic

Sommaire du Fascicule no. 1

Phase-locking for mathieu type vector fields on a torus
p. 1-8
Relations between monodromy groups of a singularity
p. 9-16
Differential equations on the Prym theta function. a realness criterion for two-dimensional, finite-zone, potential Schr\"odinger operators
p. 17-26
De Rham theory of a simplicial complex
p. 27-34
A theorem on four vertices of a convex space curve
p. 35-41
Invariant elements in a modular lattice associated with an extended dynkin diagram $\widetilde{E}_6$
p. 42-53
Asymptotics of spectral projectors of pseudodifferential operators
p. 54-56
Computation of $H^*(sl(2),M)$ with coefficients in a simple $sl(2)$-module
p. 57-58
Oscillatory integrals and volumes with semiquasi-homogeneous phase
p. 59-61
A norm estimation for the generalized quasitranslation operator by orthogonal polynomials
p. 61-63
Lagrangian construction of the enveloping algebra $U(sl_n)$
p. 64-66
Three problems on the group of symplectomorphisms
p. 66-68
Orbits and invariants of the supergroup $GQ_n$
p. 69-71
Quasimodes generated by the characters of a dynamical group and deformation of the Kirillov form
p. 71-73
Explicit formulas for spherical functions on symmetric spaces of type $A$II
p. 74-76
Fermionic dual pairs of representations of loop groups
p. 76-78
Structure of quasitriangular quasi-hopf algebras
p. 78-80
On eigenvector expansion of multiparameter spectral problems
p. 81-83
On operators almost commuting with respect to order
p. 83-85
The universal $R$-matrix for quantum untwisted affine Lie algebras
p. 85-88
Supersymmetric nonlinear graviton
p. 89-90
Infinite-dimensional Schr\"odinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space
p. 91-93

Sommaire du Fascicule no. 2

On center-valued traces on real operator algebras
p. 1-9
On the space of real polynomials without multiple critical values
p. 10-17
Estimation of the Cauchy function for finite-zone nonperiodic potentials
p. 18-28
On the growth of the number of long periodic solutions of differential equations
p. 29-35
Universality of the zero-dimensional selection theorem
p. 36-40
On algebraic relations in non-archimedian fields
p. 41-50
On modules of eigenvalues for non-self-adjoint agmon--Douglis--Nirenberg elliptic boundary problems with a parameter
p. 51-55
Compact disjointness preserving operators
p. 55-57
Composite logarithm in the class of formal operator power series
p. 57-60
The quasiclassical limit for the Schr\"odinger operator and phase transitions in quantum statistical physics
p. 61-64
Exponential sums and integrals over convex polytopes
p. 64-66
On the uniqueness of the solution of the inverse exact interpolation problem
p. 67-68
General hypergeometric functions
p. 69-72
Homogeneous domains connected with factors of type II$_\infty$ and representations of infinite-dimensional groups
p. 72-74
On $sl(n)$-modules of finite-dimensional weight
p. 74-77
On the spectrum of difference Schr\"odinger operator with a fractal potential
p. 77-79
On the Hamiltonian formalism for Korteweg?de Vries type hierarchies
p. 79-82
On the Poincar\'{e} series of representations of finite reflection groups
p. 82-85
On the point spectrum of discrete Schr\"odinger operator
p. 85-88
О распаде ступеньки для уравнения Кортевега--де Фриза--Бюргерса
p. 88-93
On the decay of step for the Korteweg--de Vries--Burgers equation
p. 93-95

Sommaire du Fascicule no. 3

Mixing for some classes of special flows over rotations of the circle
p. 1-21
Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts
p. 22-27
On stable singular Lagrangian varieties
p. 28-34
A $q$-analog of the hook walk algorithm and random Young tableaux
p. 35-45
Bicyclic $WJ*$-algebras in Pontryagin space of type $\Pi_1$
p. 46-54
The Selberg trace formula and Selberg zeta-function for cocompact discrete subgroups of $SO_+(1,n)$
p. 55-64
Highest weight modules over certain quasigraded Lie algebras on elliptic curves
p. 65-71
On function spaces that are interpolating at any $k$ nodes
p. 72-74
Parametric resonance and geodesics on an ellipsoid
p. 74-76
Classification of unimodal and bimodal corner singularities
p. 77-79
A bijective proof of the hook-length formula and its analogs
p. 80-82
Invariant semilinear elliptic equations on manifolds of constant negative curvature
p. 82-84
Widths of the unit ball of $H^\infty$ in the weighted spaces $L_q(\mu)$
p. 85-87
Analogue of the classical invariant theory for Lie superalgebras
p. 88-90
On the quantum flag manifold
p. 90-92
Topology of the space of nondegenerate curves
p. 93-96

Sommaire du Fascicule no. 4

A theory of noncommutative determinants and characteristic functions of graphs
p. 1-20
Central extensions of infinite-dimensional Lie algebras
p. 21-29
Universal completions of complex classical groups
p. 30-44
Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula
p. 45-56
Newton polyhedron, Hilbert polynomial, and sums of finite sets
p. 57-63
On one class of bases in Hilbert spaces and the similarity problem for volterra operators
p. 64-67
Symbols of some operator sequences and quadrature methods for solving singular integral equations with conjugation
p. 67-70
Decomposition of symmetric and exterior powers of the coadjoint representation of $\mathfrak{gl}(n)$ in the unstable case
p. 70-73
Irreducible graded $A_1^{(1)}$-modules
p. 73-75
Vector invariants of the groups $GL(n,\mathbb{C}[[t]])$ and $Sp(2m,\mathbb{C}[[t]])$
p. 75-77
Pseudocharacters on the group $SL(2,\mathbb{Z})$
p. 77-79
Necessary conditions for similarity of an operator to a self-adjoint one
p. 80-83
Dirac reduction of the hamiltonian operator $\delta^{IJ}\frac{d}{dx}$ to a submanifold of euclidean space with flat normal connection
p. 83-86
Bounds for the Betti numbers of a level surface of a harmonic polynomial
p. 86-88
Isomorphism of the $n$-dimensional neumann system and the $n$-site gaudin magnet
p. 88-90
Deformations of the nilpotent infinite-dimensional Lie algebra $L_2$
p. 90-92
Limit theorems for basic states of the anderson model
p. 92-95