Geodesic

Sommaire du Fascicule no. 1

Complete biorthogonal systems in Banach spaces
p. 1-7
Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
p. 8-23
A method of proof of the minimality and the basis property of a part of the root vectors
p. 24-30
Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems
p. 31-39
Certain inverse problems for differential operators of higher orders on the semiaxis
p. 40-52
Inverse scattering method in statistical physics
p. 53-62
The de Rham complex of a quasihomogeneous complete intersection
p. 63-64
Types of Jordan algebras of self-adjoint operators and their enveloping von Neumann algebras
p. 65-66
Subspaces of the spaces $L_p$ generated by stochastic processes
Number of points of an algebraic curve
p. 68-69
Multiplicities of one-sided shifts contained in a contraction operator
Asymptotics of a spectral problem connected with the Laplace--Beltrami operator on a manifold with boundary
p. 71-72
Spectral clearance of a focusing operator
p. 73-74
$J$-self-adjoint and $J$-unitary dilations of linear operators
p. 75-76
Spectral properties of degenerate systems of ordinary differential equations on a finite interval
p. 77-78
Description of representations of a group of invertible operators of a Hilbert space that contain the identity representation of the unitary subgroup
p. 79-80
Lattices of invariant subspaces of certain operators
p. 81-82
Invariants of analytic $\mathbb{Z}_2$-manifolds
p. 83-84
Any separable ultrametric space can be isometrically imbedded in $l_2$
p. 85-86
Generalized Poisson distribution on groups
p. 87-88
Complete integrability of ordinary differential equations on supermanifolds
p. 89-90
Irreducible representations of Poisson--Lie superalgebras, and invariant differential operators
p. 91-92

Sommaire du Fascicule no. 2

Number of lattice points in families of homothetic domains in $\mathbb{R}^n$
p. 1-6
Geometric structures of double bundles and their relation to certain problems in integral geometry
p. 7-22
Bifurcation diagrams of some simple and quasihomogeneous singularities
p. 23-37
Self-adjoint quadratic operator pencils and elliptic problems
p. 38-61
Banach $G$-algebras
p. 62-63
A characterization of the covariant resolutions of the identity
p. 64-65
A variational principle for the density of states of random pseudodifferential operators, and its applications
p. 66-67
The finite hypercomplex systems of Kats
p. 68-69
A commutative model of representation of the group of flows $SL(2,\mathbb{R})^X$ that is connected with a unipotent subgroup
p. 70-72
Stability of factorization of polynomial operator pencils
p. 73-74
Small resolutions of singularities of Schubert varieties
p. 75-77
Derived category of coherent sheaves on Grassman manifolds
p. 78-79
Estimates of the remainder in formulas for the asymptotic behavior of the spectrum for linear operator bundles
p. 80-81
Distribution of eigenvalues of systems of the form $Au=tBu$
p. 82-83
Multiple completeness of root vectors of polynomial operator pencils corresponding to boundary-value problems on the semiaxis
p. 84-85
Cohomologies of Lie algebras of generalized Jacobi matrices
p. 86-87
Becklund--Darboux transformation for classical Yang--Baxter bundles
p. 88-89
Local construction of complex algebraic surfaces with respect to the universal covering
p. 90-91
Analytic sets which are biholomorphically equivalent to quasihomogeneous sets
p. 92-93
Modules over operator algebras
p. 94-95

Sommaire du Fascicule no. 3

Exact formulas for the accessory coefficients in the Schwarz equation
p. 1-8
A certain type of duality of functionals
p. 9-14
Calculation of singularities of an imbedding of a generic algebraic surface in projective space $\mathbb{P}^3$
p. 15-27
Classification of critical points of functions on a manifold with singular boundary
p. 28-36
Asymptotic expansion of the spectral function for second-order elliptic operators in $\mathbb{R}^n$
p. 37-45
Classification of real simple Lie superalgebras and symmetric superspaces
p. 46-54
Newton polyhedra and the converse of the Borel--Weyl theorem
p. 55-60
Asymptotics of the spectrum of the dirichlet problem for differential operators with constant coefficients
p. 61-62
Quasilinear equations that appear in electrophoresis problems
p. 63-65
Additivity of the variance is a characteristic property of the Hilbert space $L_2(\Omega,A,\mu)$
p. 66-68
Classical Young--Baxter equation for simple Lie algebras
p. 69-70
Asymptotic behavior of eigenfunctions of the Sturm--Liouville spectral problem
p. 71-72
Maximum number of singular points on a projective hypersurface
p. 73-74
Symplectic geometry and representations
p. 75-76
Two theorems on the massiveness of boundaries in reflexive Banach spaces
p. 77-78
Cohomology invariants of collections of essentially commuting operators
p. 79-80
Order moduli of convexity and smoothness
p. 81-82
Foundation of the spectral approach in nonconservative problems of the theory of elastic stability
p. 83-84
Unitary representations with highest weight of the group of diffeomorphisms of a circle
p. 85-86
Extension of bounded holomorphic functions from an analytic curve in general position to a polydisk
p. 87-88
Quasinilpotent variant of Friedrichs' method in the theory of similarity of linear operators
p. 89-90
Verma modules over the virasoro algebra
p. 91-92
Definition of functions for generalized affine Lie algebras
p. 93-95

Sommaire du Fascicule no. 4

Method of the inverse scattering problem with spectral parameter on an algebraic curve
p. 1-6
Deformations of Hopf manifolds and the Poincar\'e--Dulac theorem
p. 7-16
What is a classical $r$-matrix?
p. 17-33
Some algebraic structures connected with the Yang--Baxter equation. Representations of quantum algebras
p. 34-48
Local characterization of holomorphic automorphisms of Siegel domains
p. 49-61
Stable cohomologies of a Lie algebra of formal vector fields with tensor coefficients
p. 62-69
Singularities of families of evolvents in the neighborhood of an inflection point of the curve, and the group $H_3$ generated by reflections
p. 70-72
A class of systems of volterra integral equations of first kind
p. 73-74
Solution of the cauchy problem with the help of weighted approximations of exponents by polynomials
p. 75-76
Semicontinuity of the complex singularity index
p. 77-78
Binomial asymptotics of the spectrum of a boundary-value problem
p. 79-81
Contiguity of $A_k$-singularities at points of the stratum $\mu=\operatorname{const}$ of a singularity
p. 82-83
A polynomial vector field with singular points only of Poincar\'{e} type
p. 84-85
Linear relations generated by canonical differential equations
p. 86-87
Structure of the resonances of the generalized friedrichs model
p. 88-89
A geometric approach to the weighted estimates of hilbert transforms
p. 90-91
Generalized Poincar\'e metric on the operator ball
p. 92-93
$H(2n,m)$-invariant differential operators and irreducible $\operatorname{osp}(2,2n)$-representations
p. 94-95