Geodesic

Sommaire du Fascicule no. 1

Invariant convex cones and orderings in Lie groups
p. 1-13
Spectral analysis of a class of second-order non-self-adjoint differential operators
p. 14-19
Generalization of a theorem of brusotti for curves on a surface of second order
p. 20-24
Evolutionary equations with nontrivial Lie--B\"acklund group
p. 25-36
New inequalities in the topology of real planar algebraic curves
p. 37-43
Residues and adeles
p. 44-45
Hodge properties of Gauss--Manin connectivities
p. 46-47
Finite-zone potentials and integrable systems on a sphere with quadratic potential
p. 48-50
Weil's representation of the Lie algebra of type $G_2$, and representations of $\operatorname{SL}_3$ connected with it
p. 51-52
Burnside problem on periodic groups
p. 53-54
Variational principle for equations integrable by the inverse problem method
p. 55-56
Example of an algebraic curve in $\mathbb{C}^2$ such that its complement has fundamental group with elements of finite order
Properties of bases of some koethe spaces and their subspaces
p. 58-59
Unitary equivalence of sets of self-adjoint operators
p. 60-62
A sufficient set of $n$-dimensional representations of a Banach algebra and the $n$-symbol
p. 63-64
Bloch solutions of periodic partial differential equations
p. 65-66
Construction of an intertwining operator
p. 67-68
Unimodal germs of functions on a manifold with a boundary
p. 69-70
Singular integral operators with non-karleman shift on an open contour
p. 71-72
Topological invariants for germs of analytic and area-preserving mappings, and their application to analytic differential equations in $\mathbb{CP}^2$
p. 73-74
Arithmetic and cohomology invariants of semisimple group schemes and compactifications of locally symmetric spaces
p. 75-76
Completeness of elementary solutions in the problem of steady-state vibrations of an elastic rectangular plate
p. 77-78
The Dixmier map
p. 79-80
Self-adjointness of elliptic operators with a finite or infinite number of variables
p. 81-82
Conditionally weakly compact and $(RN)^D$-operators
p. 83-84
Self-adjointness of elliptic operators with infinitely many variables
p. 85-86
Topological $O^*$-algebras
p. 87-88
Complex structures on a manifold with boundary
p. 89-90
Reconstruction of the weight function on the group $SO(3)$ from incomplete diffraction data
p. 91-92

Sommaire du Fascicule no. 2

Statistics of integral convex polygons
p. 1-3
Displacement of invariants of groups that are generated by reflections and are connected with simple singularities of functions
p. 4-14
Benney equations and quasiclassical approximation in the method of the inverse problem
p. 15-24
Second term of the spectral asymptotic expansion of the Laplace--Beltrami operator on manifolds with boundary
p. 25-34
Formulas for the characters of irreducible finite-dimensional representations of simple Lie superalgebras
p. 35-38
Transformers of linear relations in $J$-spaces
p. 39-43
Maximal solvable subgroups of Lie groups
p. 44-45
Higher regulators and values of $L$-functions of curves
p. 46-47
An instanton is determined by its complex singularities
p. 48-49
Group theoretic interpretation of equations of Korteweg - de Vries type
p. 50-51
Real Liouville functions
p. 52-53
Automorphism of von Neumann algebras and approximatively finite type III$_1$ factors with an almost-periodic weight
p. 54-55
Value of the Steinitz constant
p. 56-57
Classification of bilinear invariants of operators on tensor fields
p. 58-59
Equality of the spaces $S_\alpha^\beta$ and $S_\alpha\cap S^\beta$
Operator analogs of the Krein--Milman theorem
p. 61-62
Oscillations of anisotropic resonators
p. 63-64
Generalization of the Markov - Kakutani fixed point theorem
p. 65-66
Maximal degree of irreducible Lie algebra representations over a field of positive characteristic
p. 67-68
A pair of Riemannian metrics on a complete manifold
p. 69-70
Liouville's theorem and Harnack's inequality for Beltrami's equation on an arbitrary manifold
p. 71-72
Quantization on the imaginary Lobachevskii plane
p. 73-74
Perturbation of operators with an integral resolvent
p. 75-76
A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators
p. 77-78
$(L,A)$-Pairs and a Ricatti type substitution
p. 79-80
Completeness of certain systems of functions
p. 81-82
Joint essential spectrum of a family of linear operators
p. 83-84
Category of Harish-Chandra modules of the group $SU(n,1)$
p. 85-86
Non-self-adjoint accretive extensions of positive operators and theorems of Friedrichs--Krein--Phillips
p. 87-88
A system of equations of S. P. Novikov
p. 89-90
Vector fields and differential equations on supermanifolds
p. 91-92
Fixed points of linear-fractional transformations
p. 93-94
Entropy of diagonalizable states of von Neumann algebras
p. 95-96

Sommaire du Fascicule no. 3

Lagrange and legendre cobordisms. I
p. 1-13
Representations of graphs. Perfect subrepresentations
p. 14-31
Description of unitary representations with highest weight for groups $U(p,q)\widetilde{}$
p. 32-44
Homology of the Lie algebra of vector fields on the line
p. 45-60
Analytic linearization and complex powers of a nonlinear differential operator
p. 61-62
General ergodic theorems in Banach modules
p. 63-64
Asymptotics of the distribution function of the spectrum of pseudodifferential operators with parameters
p. 65-66
Multipliers of spaces $l_A^p$
p. 67-68
Discrete spectrum of many-particle quantum systems not having stable subsystems. II
p. 69-70
The Schouten Bracket and Hamiltonian operators
p. 71-74
Convergence of conditional expectations in von Neumann algebras
p. 75-76
Extensions in the category $\mathcal{O}$ of Bernshtein--Gel'fand--Gel'fand applications
p. 77-78
Homotopy properties of the set of noetherian elements of the $C^*$-algebra of multidimensional generalized Toeplitz operators
p. 79-80
Universal modules of class 0 over semisimple Lie algebras
p. 81-82
Self-similar solutions of equations of Korteweg -de Vries type
p. 83-84
Asymptotics close to the boundary of a spectral function of an elliptic second-order differential operator
p. 85-86
Two-dimensional nonlinear system of differential equations $x_{\alpha,z\overline{z}}=\exp(kx)_\alpha$
p. 87-88
Structure of factors of type III$_\lambda$ ($0\lambda\le1$)
p. 89-90
Distribution of zeros of quasipolynomials in several variables
p. 91-92
Complete extensions of compact operators with preservation of class
p. 93-94

Sommaire du Fascicule no. 4

Invariant subspaces of operators which act in a space with indefinite metric
p. 1-7
Lagrange and Legendre cobordisms. II
p. 8-17
Discrete groups and the integrability of quantum systems
p. 18-26
Asymptotics of the spectrum of variational problems on solutions of elliptic equations in unbounded domains
p. 27-35
Admissible $n$-dimensional complexes of curves in $\mathbb{R}^n$
p. 36-44
Elliptic solutions of the Kadomtsev--Petviashvili equation and integrable systems of particles
p. 45-54
Effective construction of nondegenerate Hermitian-positive functions of several variables
p. 55-60
A hyperbolicity theorem
Banach spaces, concave functions, and interpolation of linear operators
p. 62-63
Twistor representation of solutions of a Maxwellian system
p. 64-66
Banach spaces without complete minimal systems
p. 67-68
An individual ergodic theorem for positive linear mapping of von Neumann algebras
p. 69-70
Behavior of the Fourier transform in function spaces
p. 71-72
Distinguished bases of simple singularities
p. 73-74
Composition multiplicative integral of a formal power series
p. 75-76
Theorems of Brody and Green on conditions for complete hyperbolicity of complex manifolds
p. 77-78
Infinite Lie--Beklund algebras
p. 79-80
Spectral type of $G$-induced ergodic flows
p. 81-82
Trace of functions in weighted spaces
p. 83-84
Estimates in Carleson's corona theorem and finitely generated ideals in an $H^\infty$ algebra
p. 85-86
Fredholm complexes in Banach spaces
p. 87-88
Some properties of polyhedral Banach spaces
p. 89-90
Conditions for the unitarity of wave operators under a scattering by a nonstationary potential
p. 91-92
Completeness of the eigen- and associated functions of certain nonregular boundary-value problems for ordinary differential equations
p. 93-94