Geodesic

Sommaire du Fascicule no. 1

On a class of Volterra equations of the first kind
p. 1-9
The actions of infinite-dimensional Lie algebras
p. 10-15
On the automorphisms of Banach algebras
p. 16-18
Positively reproducing and positively normal operators
p. 19-23
Cohomologies of the Lie algebra of vector fields with coefficients in a trivial unitary representation
p. 24-36
Compact operators relative to a von Neumann algebra
p. 37-40
Ergodic properties of a gas of one-dimensional hard rods with an infinite number of degrees of freedom
p. 41-50
Canonical form and stationary subalgebras of points of general position for simple linear Lie groups
p. 51-62
Application of a modified Newton--Kantorovich method to the approximate solution of a system of operator equations
p. 63-65
Conjugacy of local $C^\infty$ mappings
p. 66-67
Characteristic classes of foliations
p. 68-69
Spectral properties of modular operators
p. 70-72
Canonical factorization of continuous operator functions relative to the circle
p. 73-74
Elliptic boundary-value problems for pseudodifferential complexes
p. 75-76
Algebraic calculation of the index of a singular point of a vector field
p. 77-78
On unitary representations of the group of diffeomorphisms of a compact manifold
p. 79-80
Algebraic functions with universal discriminant manifolds
p. 81-82
The Laplace transform on Lie groups
p. 83-84
Criteria for analytic sets to be algebraic
p. 85-86
Polynomial approximation of symmetric functions in a Hilbert space
p. 87-88
Spectral theory of representations of locally compact Abelian groups

Sommaire du Fascicule no. 2

Theorem on matrices depending on parameters and its applications to hyperbolic systems
p. 1-11
Modes and quasimodes
p. 12-20
The Hasse principle for algebraic groups split over a quadratic extension
p. 21-23
On unimodular integral quadratic forms
p. 24-31
Structure of defective sets in the multidimensional theory of value distribution
p. 32-40
Differentiable solutions to degenerate systems of ordinary equations
p. 41-51
Remarks about differentiable mappings of finite multiplicity
p. 52-61
Proof of Gudkov's hypothesis
p. 62-64
Stationary subalgebras of points of the common state for irreducible linear Lie groups
p. 65-78
Projective objects in the category of locally convex spaces
p. 79-80
On the spectrum of an operator Sturm--Liouville equation
p. 81-82
Convolutors in spaces of generalized functions with exponential asymptotics
p. 83-85
Bounds of ranks of Wall's groups for finite subgroups in $SU(2)$
p. 86-87
Certain arithmetic properties of ring groups
p. 88-90
Extension of $C^*$-algebras with continuous trace
p. 91-92
On the distribution of the eigenvalues of the Schr\"odinger equation with a random potential
p. 93-94
Global dimension of a Banach function algebra is different from unity
p. 95-96
Bifurcations of topological type at singular points of parametrized vector fields
p. 97-98
Center of the enveloping algebra of a Witt algebra
p. 99-100

Sommaire du Fascicule no. 3

The stability of the solution of the Cauchy problem for a second-order parabolic equation with data on a time-like surface
p. 1-9
The Brauer group of abelian varieties
p. 10-15
The principal part of the resolvent of non-self-adjoint operators in a neighborhood of spectral singularities
p. 16-24
Cohomology of the Lie algebra of Hamiltonian formal vector fields
p. 25-29
Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem
p. 30-37
Closed ideals in the ring $A^n$
p. 38-52
Extension and the concept of locally uniformly continuous mappings
p. 53-58
On the invariant subspaces of a family of commuting operators in the space $\Pi_\varkappa$
p. 59-60
Integrals of rapidly oscillating functions and singularities of projections of Lagrangian manifolds
p. 61-62
On the germs of analytic mappings whose topological type is determined by a finite jet
p. 63-64
On the completeness of a subsystem of eigenfunctions of one class of boundary value problems
p. 65-67
Conditional expectation and modular automorphisms of von Neumann algebras
p. 68-69
Homogeneous generalized functions in a vector space over a local non-Archimedean field which are related to a quadratic form
p. 70-71
On the zeros of eigenfunctions
p. 72-73
On the number of solutions of a self-adjoint system of second-order differential equations in $L_2(0,\infty)$
p. 74-76
On superpositions of algebraic functions
p. 77-78
A topological interpretation of the homologies of the diagonal complex of the Lie algebra of vector fields with coefficients in the trivial unitary representation
p. 79-80
On idempotent multipliers in symmetric functional spaces
p. 81-82
Application of the Schauder--Tikhonov principle to the problem of bounded solutions of differential equations
p. 83-84
On symmetric functions of class $D_u^2(H)$
p. 85-86
On the entropy of a sequence of partitions generated by an endomorphism
p. 87-88

Sommaire du Fascicule no. 4

Normal forms for functions near degenerate critical points, the Weyl groups of $A_k$, $D_k$, $E_k$ and Lagrangian singularities
p. 3-25
The analytic continuation of generalized functions with respect to a parameter
p. 26-40
Representations of commutative algebras
p. 41-43
On cohomologies of Lie algebras of vector fields with nontrivial coefficients
p. 44-46
Coherent states and theta functions
p. 47-57
Congruences modulo 16 in Hilbert's sixtieth problem
p. 58-64
On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
p. 65-70
On the characteristic classes and singularities of foliations
p. 71-72
On the representation of the group $GL(n,K)$ where $K$ is a local field
p. 73-74
Elliptic boundary problems for the system
p. 75-76
The spectrum of a zero-moment operator in the theory of thin shells
p. 77-78
Integration of many-valued forms, and weighted homogeneous polynomials
p. 79-80
On forms that are orthogonal to holomorphic functions and related problems
p. 81-82
Hamiltonian systems connected with the rotation group
p. 83-84
Unitary representations of the special group of jets
p. 85-86
Construction of an entire function with prescribed indicator for prescribed integral proximate order
p. 87-88
A remark on an interpolational theorem of Calderon
p. 89-90
On the covering of bounded sets in locally convex spaces
p. 91-92
Equivalence in the limit of thermodynamic ensembles in the case of one-dimensional classical systems
p. 93-94
Birth of complex invariant manifolds close to a singular point of a parametrically dependent vector field
p. 95-96
On connectedness of the fixed point set of an automorphism of a Lie group
p. 97-98
Description of differentiations in algebras of the type of locally observable spin system algebras
p. 99-100
The maximal number of components of a fourth degree surface in $\mathbb{RP}^3$
On a particular case of the existence of a compact linear operator which is not nuclear
The point spectrum in the quantum-mechanical problem of many particles
p. 103-104