Geodesic

Sommaire du Fascicule no. 1

Complexity of action of reductive groups
p. 1-13
The octahedron is badly approximated by random subspaces
p. 14-20
Poisson symmetry algebras and the asymptotics of spectral series
p. 21-32
Simultaneous completeness in the case of continuous spectrum
p. 33-36
Characters of typical irreducible finite-dimensional $\mathfrak{q}(n)$-modules
p. 37-45
Elliptic integrals and their nonoscillation
p. 46-49
Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskii space
p. 50-61
Topological structure of Cherry flows on the torus
p. 62-63
Euler equations in the algebras $e(3)$ and $so(4)$. Isomorphisms of integrable cases
p. 64-66
Mean-periodic extensions of functions
p. 67-68
Degenerate affine Hecke algebras and Yangians
p. 69-70
A hypothesis of Littlewood and the distribution of values of entire functions
p. 71-72
Dynamics of the Calogero--Moser system and the reduction of hyperelliptic integrals to elliptic integrals
p. 73-74
Properties of Banach spaces related to projectivity
p. 75-76
A simple combinatorial method for proving the Jacobi identity and its generalizations
p. 77-78
Representations of complementary series entering discretely in tensor products of unitary representations
p. 79-80
Free Banach spaces and representations of topological groups
p. 81-82
Subalgebras and automorphisms of Lie algebras of cartan type
p. 83-84
Vector variant of the Adamyan--Arov--Krein theorem
p. 85-86
Special bases of irreducible representations of a degenerate affine Hecke algebra
p. 87-88
Asymptotic expansion of the spectral function of the Hill operator
p. 89-90
Functional representation of the algebra, generated by a self-adjoint operator in a Pontryagin space
p. 91-92

Sommaire du Fascicule no. 2

Averaging in multifrequency systems
p. 1-7
Topological index of extremals of multidimensional variational problems
p. 8-13
Inverse scattering problem for the two-dimensional Schr\"odinger operator, the $\bar\partial$-method and nonlinear equations
p. 14-24
Singular vectors in Verma modules over Kac--Moody algebras
p. 25-37
Movable poles of the solutions of Painleve's equation of the third kind and their relation with mathieu functions
p. 38-49
An estimate for the remainder in the asymptotic expansion of the spectrum of pseudodifferential operators of negative order
p. 50-51
Hyperbolic polynomials and Vandermonde mappings
p. 52-53
Finite-dimensional stochastic attractors of infinite-dimensional dynamical systems
p. 54-55
Algebras of first integrals of finitely modal singularities of vector fields
p. 56-57
Complex forms on supermanifolds
p. 58-59
A continuous one-dimensional mapping without a measure with maximal entropy
p. 60-61
Hamiltonian operators in graded formal calculus of variations
p. 62-64
Smooth and holomorphic linearization of exterior differential $1$-forms
p. 65-66
The derived category of coherent sheaves on the square
A tauberian theorem for the Laplace--Stieltjes integrals
p. 68-69
Exact constant in Simonenko's theorem on an envelope of a family of operators of local type
p. 70-71
Lie algebras admitting elliptic semialgebras
p. 72-73
Higher Bruhat orders, related to the symmetric group
p. 74-75
Representations of the symmetric group in the free Lie (super-) algebra and in the space of harmonic polynomials
p. 76-77
An analog of the Sklyanin algebra
p. 78-79
Separably injective Banach spaces
p. 80-81
Subgroups of a complete ergodic approximately finite group of automorphisms, which preserve the measure of a Lebesgue space
p. 82-83
Characteristic classes of parabolic fiberings of the series $B$, $C$, and $D$, and the degrees of isotropic Grassmanians
p. 84-85
A universal topological group with a countable base
p. 86-87
Structure of Lie superalgebras on eigenfunctions and jets of the kernel of the resolvent near the diagonal for an $n$th-order differential operator
p. 88-89
Homologies of some matrix Lie superalgebras
p. 90-91
Translation-invariant operators in Lorentz spaces
p. 92-93
Scattering theory in a pair of spaces
p. 94-95

Sommaire du Fascicule no. 3

Invariant K\"ahler--Einstein metrics on compact homogeneous spaces
p. 1-16
Algebraic and combinatorial aspects of the general theory of hypergeometric functions
p. 17-34
Lagrangian imbeddings of surfaces and unfolded Whitney umbrella
p. 35-41
Spectral theory of finite-zone nonstationary Schr\"odinger operators. A nonstationary Peierls model
p. 42-54
Finite-dimensional perturbations of discrete operators and formulas for traces
p. 55-65
Caustics in geometrical optics
p. 66-69
Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie--B\"acklund group
p. 70-79
Solvability of the inverse problems for second-order equations
p. 80-81
A construction of hyper-K\"ahler metrics
p. 82-83
Narasimhan--Seshadri connection and K\"ahler structure of the space of moduli of holomorphic vector bundles over Riemann surfaces
p. 84-85
Riesz products and spectrum of Mackey actions
p. 86-87
Critical dimensions of the string theories and the dualizing sheaf on the moduli space of (super) curves
p. 88-89
Reconstruction of a two-dimensional Schr\"odinger operator from the scattering amplitude for fixed energy
p. 90-91
Coincidence of the homological dimensions of the Frechet algebra of smooth functions on a manifold with the dimension of the manifold
p. 92-93
Bifurcation of singular points of gradient dynamical systems
p. 94-95

Sommaire du Fascicule no. 4

Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues
p. 1-8
Geodesic flows on the two-dimensional torus and phase transitions ``commensurability-noncommensurability''
p. 9-16
Quasiresonances in the problem of forced vibrations of a thin elastic shell interacting with a liquid
p. 17-28
Dilatation and the asymptotics of the eigenvalues of spectral problems with singularities
p. 29-34
Hamiltonian structure of the Kadomtsev--Petviashvili--II equation in the class of decreasing Cauchy data
p. 35-45
Unitary representations of the group $SO_0(\infty,\infty)$ as limits of unitary representations of the groups $SO_0(n,\infty)$ as $n\to\infty$
p. 46-57
Contractibility of the full general linear group of the $l_2(A)$
p. 58-64
Currents on Lie groups with nonholonomic connection and integrable nonhamiltonian systems
p. 65-66
Integration on supermanifolds and Radon supertransformations
p. 67-69
A sufficient condition for the continuity of the spectrum of a discrete Schr\"odinger operator
p. 70-71
Elements of formal Lie theory and the Poincar\'e--Birkhoff--Witt theorem for generalized shift operators
p. 72-73
A Problem of S. Banach (Problem 106 from the ``Scottish Book'')
p. 74-75
Finiteness of the discrete spectrum of the perturbed Wiener--Hopf operator
p. 76-78
K\"ahler geometry of the infinite-dimensional homogeneous manifold $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$
p. 79-80
Spectral properties of the Cauchy--Poisson problem and the local asymptotic behavior of waves
p. 81-82
Existence and uniqueness of local solutions of functional equations
p. 83-84
Spectra of $X^*$-algebras of pseudodifferential operators with multidimensional discontinuities in symbols
p. 85-86
Connection between the rigid isotopy class of a fifth-order nonsingular curve in $\mathbb{R}P^2$ and its disposition with respect to a line
p. 87-88
The Gel'fand--Dikii Lie Algebras and the Virasoro algebra
p. 89-90
Integrable $G$-invariant Hamiltonian systems and homogeneous spaces with simple spectrum
p. 91-92
Separation of multiple points of spectrum in the reduction $\mathrm{sp}(2n)\downarrow\mathrm{sp}(2n-2)$
p. 93-95