Geodesic

Sommaire du Fascicule no. 1

Index of a singular point of a vector field, the Petrovskii--Oleinik inequality, and mixed hodge structures
p. 1-14
Best linear and nonlinear approximations for smooth functions
p. 15-24
Equations of long waves with a free surface. II. Hamiltonian structure and higher equations
p. 25-37
Approximations by isometries and V. I. Matsaev's hypothesis for absolute contractions of the space $L^p$
p. 38-50
Newton polyhedra and the genus of complete intersections
p. 51-61
The classical limit in Weyl quantization
p. 62-63
The structure of Lie superalgebras with semisimple even part
p. 64-65
Maximum functions of a family of functions depending on parameters
p. 66-67
Resolvent comparability of boundary problems for an operator Sturm--Liouville equation
p. 68-69
Some remarks in connection with Gel'fand's theorems on the group of invertible elements of a Banach algebra
p. 70-71
A multidimensional variational problem in symmetric spaces
p. 72-73
Projection methods for solving two-dimensional singular equations on a torus
p. 74-75
Rational solutions of the Kadomtsev--Petviashvili equation and integrable systems of $N$ particles on a line
p. 76-78
Pseudodifferential operators in spaces of distributions with exponential behavior at infinity
$RN$-sets in Banach spaces
p. 80-81
Examples of commutative rings of differential operators
p. 82-83
Jordan form of coxeter transformations and applications to representations of finite graphs
p. 84-85
Isotopic types of nonsingular surfaces of fourth degree in $\mathbb{RP}^3$
p. 86-87
An application of the contraction mapping principle in the theory of operators in an indefinite metric space
p. 88-89
Weak limit points of Feynman integral products
p. 90-91
Invertibility of multipliers and the spectrum of an operator in spaces with different norms

Sommaire du Fascicule no. 2

Combinatorial formulas for Pontryagin classes and $GL$-invariant chains
p. 1-7
The calculus of jets and nonlinear Hamiltonian systems
p. 8-23
Norm estimates of certain $p$-absolutely summing operators
p. 24-31
Formal variational calculus in the algebra of smooth cylindrical functions
p. 32-39
Measurable selections of multivalued mappings and projections of measurable sets
p. 40-45
Generalized Liouville method of integration of Hamiltonian systems
p. 46-56
Quantum systems related to root systems, and radial parts of Laplace operators
p. 57-65
Asymptotic distribution of the spectrum of a linear sheaf perturbed by an analytic operator-valued function
p. 66-67
The scattering problem in classical mechanics
p. 68-69
Approximating characteristic of functions of class BII
p. 70-71
Cohomologies of braid groups
p. 72-73
Invariant algebras of functions on Lie groups
p. 74-75
Cohomologies of groups of braids of series $C$ and $D$ and certain stratifications
p. 76-77
Self-dual Yang--Mills fields over a sphere
p. 78-79
The superreflexivity property of a Banach space in terms of the closeness of its finite-dimensional subspaces to euclidean spaces
p. 80-81
Algebras of continuous functions on locally connected compact spaces
p. 82-83
The existence of surface waves in the problem on the normal oscillations of an ideal liquid rotating in a partially filled container
p. 84-85
Primary decompositions of finite-dimensional representations of Lie algebras and Lie groups
p. 86-87
Asymptotic behavior of singular values of integral operators with Cauchy and Bergman kernels
The reducibility of operators of bilateral multiple weighted shift
p. 89-90
Irreducible semisimple linear Lie groups with finite stationary subgroups of general position
p. 91-92
Algebras of automorphic forms with three generators
p. 93-94

Sommaire du Fascicule no. 3

The Landweber--Novikov algebra and formal vector fields on the line
p. 1-11
Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups
p. 12-19
Commutative rings of ordinary linear differential operators
p. 20-31
Unitary representations of the infinite-dimensional classical groups $U(p,\infty)$, $SO_0(p,\infty)$, $Sp(p,\infty)$ and the corresponding motion groups
p. 32-44
Differential equations for the Baker--Akhiezer functions of algebraic curves
p. 45-54
An example of a measure quasi-invariant under the action of the diffeomorphism group of the circle
p. 55-60
Formulas for the number of frequencies of axisymmetric vibrations of a shell of revolution under various boundary conditions
p. 61-63
Decomposability of metrizable Lie algebras
p. 64-65
Algebraic bundles over $P^n$ and problems of linear algebra
p. 66-67
Coherent sheaves on $P^n$ and problems of linear algebra
p. 68-69
Degree of degeneracy of a singular point of a vector field on the plane
p. 70-71
Affineness of normal forms of strata $\mu=\mathrm{const}$ of germs of smooth functions
p. 72-73
Discrete spectrum of multifrequency quantum systems possessing no stable subsystems
p. 74-75
Homotopic classification of noetherian systems of singular and bisingular integral operators with discontinuous coefficients
p. 76-77
Method of vector fitting and symplectic geometry
p. 78-79
Unitary representations of groups of measure-preserving diffeomorphisms
p. 80-81
Automorphisms of the Riemann surface of an $M$-curve
p. 82-83
Convolutions onto an operator domain
p. 84-85
Spectral analysis of the Martinelli--Bochner operator for a ball in $\mathbb{C}^n$ and its applications
p. 86-87
Birationally isomorphic commutative rings of differential operators
p. 88-89
On a question of V. S. Vladimirov
Massiveness of the set of extreme points of the dual ball of a Banach space. Polyhedral spaces
p. 91-92
Analytic perturbations of self-adjoint analytic elliptic pseudodifferential operators
p. 93-95

Sommaire du Fascicule no. 4

Cohomology of infinite-dimensional Lie algebras and Laplace operators
p. 1-5
Integral geometry for $\partial$-cohomology in $q$-linear concave domains in $\mathbb{CP}^n$
p. 6-23
Summability of eigenfunction expansions of differential operators and convolution operators
p. 24-40
Holomorphic bundles over Riemann surfaces and the Kadomtsev--Petviashvili equation.~I
p. 41-52
Matrix solitons and bundles over curves with singularities
p. 53-63
Quotient groups of discrete subgroups and measure theory
p. 64-76
Expression of $A^{-1}$ by iteration of an operator $A$ acting in a Banach space
p. 77-78
Chevalley's theorem for complex crystallographic Coxeter groups
p. 79-80
Product formulas for the Nilsen numbers of bundle maps
p. 81-82
An exceptional representation of $Sp(4,F_q)$
p. 83-84
Interpolation in spaces with given symmetries
p. 85-86
A necessary and sufficient condition for the factorization of a rational operator-function
p. 87-88
Purely topological characteristics of operators of type $RN$
p. 89-90
Massey operations in Lie superalgebras and differentials in the Quillen spectral sequence
p. 91-92
Quasipolynomials
p. 93-94
A problem in diffraction
p. 95-96