Geodesic

Sommaire du Fascicule no. 1

Hamiltonian formalism for the Novikov--Krichever equations for the commutativity of two operators
p. 1-7
Integrable nonlinear equations and the Liouville theorem
p. 8-20
Reflexive subspaces of the space $C_A^*$
p. 21-30
Soliton sectors in continuous time lattice models
p. 31-41
Amenable Banach algebras
p. 42-48
Index of a polynomial field
p. 49-58
Invariant normal forms of formal series
p. 59-60
Product of commuting spectral measures need not be countably additive
p. 61-62
Versal deformations of singular points of vector fields on a plane
p. 63-64
A formula for the ranks of the homology groups of the boundary of an isolated singularity of a surface in $\mathbb{C}^3$ and the Newton diagram
p. 65-66
Weyl's formula in the spectral theory of automorphic functions
p. 67-68
Expansion of invariant operators
Spectrum of automorphisms with weight and the Kamowitz--Scheinberg theorem
p. 70-71
Floquet representation of solutions of linear hypoelliptic systems of partial differential equations
Traces of linear operators in locally convex spaces
p. 73-74
Concept of a normed space of cotype $p2$
p. 75-76
Shadow and terminator of a hypersurface of general position
p. 77-78
One property of Lindenstrauss--Phelps spaces
p. 79-80
One generalization of the KdV and sin-Gordon differential equations
p. 81-82
One class of toeplitz operators connected with the divisibility of analytic functions
Regular averaging operators
p. 84-85
Standard ideals of algebra $H_n^1$
p. 86-87
One fixed-point theorem
p. 88-89
Decomposition of tensor products of certain representations of classical groups
p. 90-91

Sommaire du Fascicule no. 2

Characteristic Pontryagin cycles in a Cech complex
p. 1-10
A local problem of integral geometry in a space of curves
p. 11-31
Newton polyhedra and vanishing cohomology
p. 32-47
Vlasov equations
p. 48-58
Instantons and bundles on $\mathbb{CP}^3$
p. 59-74
Instantons and Grassmann manifolds
p. 75-76
Index of a stationary point of a vector field on the plane
Estimates of the rotation of vector fields on algebraic varieties
State density of multidimensional integral operators
p. 79-80
Invariant states on asymptotically Abelian factors of type III
p. 81-82
Classes of uniqueness for integrodifferential equations with volterra operators of convolution type
p. 83-84
Perturbations of a fractional integration operator
p. 85-86
Left-invariant measures on open stable subsets of locally compact metrizable groups
p. 87-88
Automorphisms and real forms of a class of complex algebraic curves
p. 89-90
Complementability of the subspace generated by the Rademacher system in a symmetric space
p. 91-92
Subspaces of symmetric spaces of functions
p. 93-94
Conditions for the existence of a nondegenerate mapping with a given support

Sommaire du Fascicule no. 3

Model algebras and representations of graphs
p. 1-12
Integration of nonlinear equations of mathematical physics by the method of inverse scattering.~II
p. 13-22
Curvature of groups of diffeomorphisms preserving the measure of the $2$-sphere
p. 23-27
Finiteness of quotient groups of discrete subgroups
p. 28-39
Factorization of operators in $L^2(a,b)$
p. 40-45
Ergodic properties of the Lorentz gas
p. 46-59
Topological structure of normally solvable first boundary-value problems in the plane
p. 60-70
Construction of $M$-surfaces
p. 71-72
Representations of the group of local shifts of the space $k^m$, where $k$ is a local non-Archimedean field
p. 73-74
Maximal ideal spaces of invariant algebras
p. 75-76
Continuous spectrum of a one-dimensional Schr\"odinger operator
p. 77-78
Problem of reflection from a boundary for the equation $h^2\square u+а\operatorname{sh}u=0$ and finite-zone conditionally periodic solutions
p. 79-80
A theorem of M. G. Krein and M. A. Rutman
p. 81-82
A geometric criterion for strong linear convexity
p. 83-84
Propagation of singularities of solutions of nonclassical boundary-value problems for the wave equation
p. 85-86
Divergence of series reducing an analytic differential equation to linear normal form at a singular point
p. 87-88
Operators of the regular representation for a class of non-Lie commutation relations
p. 89-90
Extremal chains of subspaces for kolmogorov and linear diameters
p. 91-92
Asymptotic behavior of spectra of operators which are close to normal
p. 93-94
Finite propagation velocity and essential self-adjointness of certain differential operators
p. 95-96

Sommaire du Fascicule no. 4

Asymptotic behavior of exponential integrals in the complex domain
p. 1-12
Hamiltonian operators and algebraic structures related to them
p. 13-30
Refinement of the Petrovskii--Arnol'd inequality for curves of odd degree
p. 31-39
Gel'fand--Dikii Hamiltonian operator and the coadjoint representation of the volterra group
p. 40-46
Homology of affine groups and classifying spaces for piecewise-linear bundles
p. 47-52
Problem concerning a system of elements being a basis in its linear span
Spectral properties of elliptic pseudodifferential operators on a closed curve
p. 54-56
Uniqueness of the solution of the inverse problems in classes of entire functions
p. 57-58
A formula for the number of vibration frequencies of a shell filled with fluid
p. 59-61
Universality of the differentiation operator in $L^2(0,\infty)$ and inequalities for the degrees of dissipative operators
p. 62-63
A problem of integral geometry in $\mathbb{RP}^n$, connected with the integration of differential forms
p. 64-66
Parabolic mappings of differentiable manifolds
p. 67-68
Spectrum of the generalized Hill operator
p. 69-70
A central extension of the group of volume-preserving diffeomorphisms, as inductive limit of groups of diffeomorphisms of coordinate neighborhoods
p. 71-72
The $K$-functor in the theory of extensions of $C^*$-algebras
p. 73-74
Trace formulas for a spectral boundary problem
p. 75-76
Symmetric operators commuting with a family of unitary operators
p. 77-78
Some propositions of the Fourier--Plancherel and Paley--Wiener type obtained by methods in the spectral theory of functions
p. 79-80
Rational solutions of the duality equations for Yang--Mills fields
p. 81-82
Classification of von Neumann $J$-algebras
p. 83-84
Description of interpolation orbits
p. 85-86
Volterra operators with imaginary components in a given symmetrically normalized ideal
p. 87-88
An inverse problem
p. 89-90
Invariant differential operators on the line
p. 91-92
Expansion of a convolution of gaussian and poisson distributions of locally compact Abelian groups
p. 93-94