Geodesic

Sommaire du Fascicule no. 1

Poisson manifolds and the schouten bracket
p. 1-11
Twisted Picard--Lefschetz formulas
p. 12-22
Two-dimensional ``inverse scattering problem'' for negative energies and generalized-analytic functions. I. Energies below the ground state
p. 23-33
The proof of peterson's conjecture for $GL(2)$ over a global field of characteristic $p$
p. 34-54
Some limit relations for multidimensional positive-definite toeplitz matrices
p. 55-56
Regular and singular $J$-inner matrix-functions and the corresponding interpolation problems
p. 57-59
Connection between analytic properties of operator functions and smoothness of solutions of degenerate differential equations
p. 60-61
Perturbation of the generating operator of an analytic semigroup
p. 62-63
Capacity and deficient divisors
p. 64-65
Model representations of commutative systems of linear operators
p. 66-68
Invariant measures of Euler--Poincar\'e equations on Lie algebras
p. 69-70
Supersymmetric elliptic and modular functions
p. 71-72
Uniqueness theorems for analytic operator-valued functions with nonnegative imaginary part
p. 73-74
Harmonic functions with a given set of singularities
p. 75-76
An orthogonal basis in irreducible projective representations of the symmetric group
p. 77-78
Nonsingular finite-zone two-dimensional Schr\"odinger operators and prymians of real curves
p. 79-80
Extremal problems with unstabilized integrands
p. 81-82
The chebyshev property of elliptic integrals
p. 83-84
A ground state in the Frenkel'-Kontorova model
p. 85-86
Zeta functions in Nielsen theory
p. 87-88
$g$-analogues of Gel'fand--Tsetlin bases
p. 89-90
Orientations of supermanifolds
p. 91-92

Sommaire du Fascicule no. 2

Integrable discrete-time systems and difference operators
p. 1-13
Integration on vector bundles
p. 14-25
Projection and vector fields, tangent to the discriminant of a complete intersection
p. 26-37
Spectral properties of the operator bundles generated by elliptic boundary-value problems in a cone
p. 38-46
Pseudosymmetries and differential substitutions
p. 47-56
Local principle of computation of the factor-norms of singular integral operators
p. 57-58
A de Rahm complex of nonisolated singularities
p. 59-60
A mechanical connection on the group of volume-preserving diffeomorphisms
p. 61-62
Galois cohomologies of real reductive groups and real forms of simple Lie algebras
p. 63-64
Completeness of the system of eigenfunctions of a nonelliptic operator on the torus, generated by a Hill operator with a finite-zone potential
p. 65-66
A formula for Mumford measure in superstring theory
p. 67-68
Global properties of the Maslov index and Morse theory
p. 69-70
Fourier--Langlands transformations on reductive groups
p. 71-72
Asymptotic behavior of the Lifshits ``tails'' for random one-dimensional systems
p. 73-74
Invariant subspaces of weighted permutation operators
p. 75-76
Absolute continuity of smooth measures
p. 77-78
$Q$-bundles without disjoint sections
p. 79-80
Inverse problem of spectral analysis on the semiaxis for one kind of differential equation
p. 81-82
Splitting of complex separatrices
p. 83-84
Spectral theory of Schr\"odinger operators with periodic complex-valued potentials
p. 85-86
Lax representation with a spectral parameter for the kowalevski top and its generalizations
p. 87-88
Fourier transform on the orispheres of homogeneous pseudo-Riemannian symmetric spaces of rank~1
p. 89-91
Spectral Riemann surfaces of the Sturm--Liouville operator and quasiexactly solvable problems
p. 92-94
Interpolation of linear operators in Orlicz spaces

Sommaire du Fascicule no. 3

Algebra of functions on the quantum group $SU(2)$
p. 1-14
Braid group cohomologies and algorithm complexity
p. 15-24
Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations
p. 25-36
Method of averaging for two-dimensional ``integrable'' equations
p. 37-52
Asymptotic of the spectral function of a positive elliptic operator without the nontrap condition
p. 53-65
Convex hulls of orbits of representations of finite groups and combinatorial optimization
p. 66-67
Integral and mod $p$-cohomologies of the Lie algebra $W_1$
p. 68-70
Holonomic systems with regular singularities and wave fronts of feynman integrals
p. 71-72
Complete list of invariants of the algebra $sl(2)$ for a field of finite characteristic
p. 73-74
Singularities of the boundary of the stability region in the infinite-dimensional case
p. 75-76
Asymptotics of solutions of abstract integrodifferential equations with periodic coefficients
p. 77-78
Variation of the Jordan structure of $G$-self-adjoint operators and self-adjoint operator functions under small perturbations
p. 79-80
A reflexivity criterion
p. 81-82
Topological pressure on noncompact sets
p. 83-84
Angular singularities and multidimensional assemblies
p. 85-86
Hypercontractive operators and Khinchin's inequality
p. 87-88
Computation of the Bennequin invariant of a Legendre curve from the geometry of its front
p. 89-90
Cohomology of the commutator subgroup of the braid group
p. 91-92
Complex manifolds of negative curvature
Kernel of evolution operator in the space of sections of a vector bundle as integral over trajectories
p. 94-95

Sommaire du Fascicule no. 4

Quantization of the Gel'fand?Dikii brackets
p. 1-10
Multidimensional inverse spectral problem for the equation $-\Delta\psi+(v(x)-Eu(x))\psi=0$
p. 11-22
Method of holomorphic extensions in the theory of unitary representations of infinite-dimensional classical groups
p. 23-37
Topological invariants of Liouville integrable Hamiltonian systems
p. 38-51
Decompositions of simple singularities of real functions
p. 52-67
Conformal mappings of $G$-structures
p. 68-69
Symbol of a functional-pseudodifferential operator on a compact manifold
p. 70-71
Obstacles to finitely smooth linearizations
p. 72-73
Conjugacy of homomorphisms of locally compact groups into the outer group of measurable equivalence relation
p. 74-75
Bases from eigensubspaces of a nondissipative operator and the characteristic function
p. 76-77
Transcendental solutions of diophantine equations
p. 78-79
Potential of the Weyl--Peterson metric on the Teichm\"uller space of Riemann surfaces of genus zero with punctures
p. 80-81
Brownian motion on foliations: Entropy, invariant measures, mixing
p. 82-83
Multiplicity of weights in irreducibile tensor representations of a complete linear superalgebra
p. 84-85
Weighted shift operator on a topological Markov chain
p. 86-87
Periodic solutions of the equation $u_{tt}-u_{xx}+u^3=0$
p. 88-89
Berezinians in permutation structures
p. 90-91
Dubrovin--Novikov type Poisson brackets (DN-brackets)
p. 92-93
Resolution of singularities of affine normal quasihomogeneous $SL_2$-varieties
p. 94-95