Geodesic

Sommaire du Fascicule no. 1

Crofton's function and inversion formulas in real integral geometry
p. 1-6
Spectral asymptotics of polynomial pencils of differential operators in bounded domains
p. 7-20
The step-decay problem for the Korteweg-de Vries-Burgers equation
p. 21-32
Lie algebras of differential operators, their central extensions, and $W$-algebras
p. 33-49
Topological entropy and periodic points of two-dimensional hyperbolic billiards
p. 50-57
The Rosenthal inequality in symmetric spaces
p. 58-60
Spherical functions on the quantum group $SU(1, 1)$ and the $q$-analogue of the Mehler--Fock formula
p. 60-62
Free $n$-category generated by a cube, oriented matroids, and higher Bruhat orders
p. 62-65
On the index and the homotopic classification of Noetherian operators with a finite group of shifts
p. 66-68
An inverse problem for the wave equation in a ball
p. 68-71
$(\pm)$-regular factorization and the best minorant
p. 72-74
Classification of germs of regular distributions with minimal growth vector
p. 74-76
Abstract characterization of $EW^*$-algebras
p. 76-78
Hall-Littlewood functions and orthogonal polynomials
p. 78-81
Moduli of vector bundles and numbers of classes
p. 81-83
Deformation of poisson structures and contact Lie (super)algebras of string theories
p. 84-86
Angular operators of nondegenerate subspaces
p. 86-88
Meromorphic functions connected with polylogarithms
p. 88-91
An infinitesimal object of the hypercomplex system, generated by double cosets, and nonlinear differential equations
p. 91-93

Sommaire du Fascicule no. 2

Topological and ergodic properties of closed 1-forms with incommensurable periods
p. 1-12
Determinants of matrices over noncommutative rings
p. 13-25
Selberg's trace formula for an automorphic Schrodinger operator
p. 26-37
Integrable Lagrangian correspondences and the factorization of matrix polynomials
p. 38-49
Intersection theory on the moduli space of curves
p. 50-57
Regular factorizations of a characteristic function and singular operator-functions
p. 58-60
Discrete decomposition of type III von Neumann algebras
p. 60-62
Generalized solutions of coagulation equations
p. 62-64
A note on classification of holomorphis matrices up to similarity
Homogeneous symplectic structures of second order on loop spaces and symplectic connections
p. 65-67
Biorthogonal analogue of the Hermite polynomials and the inversion of the fourier transform with respect to a nongaussian measure
p. 68-70
Quasirepresentations and pseudorepresentations
p. 70-73
Quantum Weyl group and multiplicative formula for the $R$-matrix of a simple Lie algebra
p. 73-76
Representations of contragradient Lie algebras in contact vector fields
p. 76-78
Purely imaginary fractional powers of operators
p. 78-80
Spherical functions on the group of diffeomorphisms preserving the volume
p. 80-82
A central extension of the algebra of pseudodifferential symbols
p. 83-85
The problem on the steady-state oscillations of a transversally isotropic semicylinder with a free boundary
p. 86-89
The discrete spectrum in the gaps of a second-order perturbed periodic operator
p. 89-92
The asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed hill operator
p. 93-95

Sommaire du Fascicule no. 3

Morse lemma for functionals of variational calculus
p. 1-11
Monodromy of the image of the mapping $\mathbb{C}^2\to\mathbb{C}^3$
p. 12-18
Simple proof of Macdonald's identities for the series A
p. 19-23
Deformation quantization and asymptotic operator representation
p. 24-36
Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type
p. 37-49
New proof of Sinai's formula for the entropy of hyperbolic billiard systems. Application to Lorentz gases and Bunimovich stadiums
p. 50-69
Wandering solutions of Euler's $D-2$ equation
p. 70-71
Diagonalization of systems, elliptic in the Douglis--Nirenberg sense, on manifolds with boundary
p. 71-73
Geometry of five-dimensional complexes of two-dimensional planes in projective space
p. 73-76
Rationality of singularities and the Gorenstein property for nilpotent orbits
p. 76-78
Point spectrum of singular nonselfadjoint differential operators
p. 78-80
Finite dimensionality of $\operatorname{Ext}^n$'s and $\operatorname{Tor}_n$'s of simple modules over one class of algebras
p. 80-82
Solution of infinite Toda chains
p. 82-84
Irreducible unitary representations of the group $\operatorname{Diff}(S^2,\omega)$ of functional dimension two
p. 85-88
Polynomial first integrals of Hamiltonian systems with exponential interaction
p. 88-89
Spectral theory of one-dimensional Schr\"odinger operators with strongly fluctuating potentials
p. 89-92
Sufficient conditions of non-almost-periodicity for the solutions of S. L. Sobolev's equations
p. 92-94

Sommaire du Fascicule no. 4

Structure of the singularities of operator functions with a positive imaginary part
p. 1-13
Growth of periodic orbits of dynamical systems
p. 14-22
A topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds
p. 23-35
Introduction from the book ``Vertex operator algebras and the Monster''
p. 36-52
Properties of operators of extension and contraction of ideals of algebras of invariants of reductive groups in positive characteristic
p. 53-61
Polynomial operator pencils connected with problems of mechanics
p. 62-64
Vector fields on a complete intersection
p. 64-66
Sets of the first super category in Banach spaces
p. 66-69
Solutions of the Knizhnik--Zamolodchikov trigonometric equation
p. 69-71
Algebraic operators and pairs of self-adjoint operators connected by a polynomial relation
p. 72-74
Local Pl\"ucker formulas for a semisimple Lie group
p. 74-76
Discrete subgroups of $GL(2,C)$ and spinor bundles on Riemann and Klein surfaces
p. 76-78
Remark on the Lyapunov theorem on vector measures
p. 78-80
Small Schubert cells as subsets in Lie algebras
p. 81-83
Discrete spectrum of a given symmetry of the Schr\"odinger operator of an $n$-particle system in a homogeneous magnetic field
p. 83-86
Homology of nilpotent subalgebras of the Lie superalgebra $K(1, 1)$
p. 86-88
Determinant formula for Selberg-type integrals
p. 88-89
Trace formula for polynomial operator pencils and its applications
p. 90-92
Forced vibrations of a shell immersed in a viscous compressible fluid
p. 93-95