Geodesic

Sommaire du Fascicule no. 1

Discriminants of polynomials in many variables
p. 1-4
Integral geometry and manifolds of minimal degree in $\mathbb{CP}^n$
p. 5-20
On the asymptotic behavior of the discrete spectrum of the Dirichlet and Neumann problems for the Laplace--Beltrami operator on a regular polyhedron in the Lobachevskii space
p. 21-28
A generalization of manifold and its characteristic classes
p. 29-37
Symplectic leaves of the Gel'fand--Dikii brackets and homotopy classes of nondegenerate curves
p. 38-47
Recursion relations for homogeneous terms of a convergent series of the logarithm of a multiplicative integral on Lie groups
p. 48-58
Non-self-adjoint problems with a parameter that are elliptic in the sense of Agmon--Douglis--Nirenberg
p. 59-61
Cohomology of a nilpotent subalgebra of a Witt algebra
p. 62-63
Spectral asymptotics of non-self-adjoint elliptic systems of differential operators in bounded domains
p. 64-66
Serre cohomology and localization with respect to ore sets
p. 67-68
Segre hyperboloids and rational subvarieties in Grassmannians
p. 69-71
Variations of the complex structure of Riemann surfaces by vector fields on a contour and objects of the KP theory. The Krichever--Novikov problem of the action on the Baker--Akhieser functions
p. 72-73
A noncommutative taylor formula and functions of triangle operators
p. 74-76
On T. Kato's problem regarding bounded solutions of differential-functional equations
p. 77-79
Rotation operators with multiplication and some of their generalizations
p. 80-81
Highest weight representations of the Lie algebra $gl_\infty$
p. 82-83
Two remarks on the asymptotic Hopf invariant
p. 84-85
Two-dimensional finite-zone Schrodinger potential operators
p. 86-87
Computation of monodromy of certain $W$-invariant local systems of types $B$, $C$, and $D$
p. 88-89
Radius of univalence of a regular function
p. 90-91
Conditions necessary for optimality in the convex Bolza problem with phase constraints of a general form
p. 92-93

Sommaire du Fascicule no. 2

Марк Григорьевич Крейн
p. 1-2
Weierstrass--Malgrange preparation theorem in the finitely smooth case
p. 3-15
Singularities of projective hypersurfaces
p. 16-23
New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant
p. 24-36
Asymptotics of Laplace-dirichlet integrals
p. 37-49
Jacobi equations on minimal homogeneous submanifolds in homogeneous riemannian spaces
p. 50-62
A semigroup of operators in the boson fock space
p. 63-73
Computational complexity of immanents and representations of the full linear group
p. 74-75
Spectral asymptotics of polynomial pencils of differential operators on a compact manifold without boundary
p. 76-78
Finitely smooth polynomial normal forms of $C^\infty$-diffeomorphisms in the neighborhood of a fixed point
p. 79-80
Normal forms of germs of two-dimensional distributions in $\mathbb{R}^4$
p. 81-82
Universal measurable extension and the arens extension of a Banach algebra of continuous functions
p. 83-84
Mutations and serre functors on constructive bundles
p. 85-86
Algebras of difference and integral operators
p. 87-88
Spectrum of a stationary uniform-speed transport equation with reflection-type boundary conditions
p. 89-90
Distribution of the preimages of measures under the action of a meromorphic function
p. 91-92
Ashby relation and control of the qualitative behavior of dynamical systems
p. 93-94

Sommaire du Fascicule no. 3

Statistics of solutions of the integral equation $ax-by=\pm1$
p. 1-8
Covariants of the symmetric group and its analogs in Weyl algebras
p. 9-13
One-dimensional Schr\"odinger operator with unbounded potential: The pure point spectrum
p. 14-25
Estimates in operator classes for a difference of functions, from the pick class, of accretive operators
p. 26-35
Maslov index and Clifford algebras
p. 36-44
Non-oscillation of elliptic integrals
p. 45-50
Elliptic affine Lie algebras
p. 51-61
Topology of rearrangements of non-smoothness sets of minimum functions in variational problems
p. 62-63
Wiener's theorem and the asymptotic estimates of the elements of inverse matrices
p. 64-65
Differentiation bases and symmetric spaces
p. 66-67
Integrable surfaces
p. 68-69
Action of the Lie algebra $SO(5)$ on the cohomology of a hyperk\"ahler manifold
p. 70-71
Integration of non-Abelian Toda-type chains
p. 72-73
Spectral properties of unitary weighted translation operators
p. 74-75
Exact asymptotics of the spectrum of the Maxwell operator in a solid resonator
p. 76-77
Algebras of functions on quantum matrix supergroups
p. 78-79
Bases of complemented subspaces of functional spaces
p. 80-81
Irreducibility criterion for regular Gaussian representations of groups of finite upper triangular matrices
p. 82-83
Jordan decomposition of measures on projections in $J$-spaces
p. 84-85
Симплектические формы на пространстве петель и риманова геометрия
p. 86-87
Highest weight representations of the Lie algebra $a(\infty)$
p. 88-89
Faithful transfer of difference boundary conditions
p. 90-91
Gel'fand--Naimark--Segal states and weil group for the quantum group $SU(n)$
p. 92-93
Realization of linear Lie groups by biholomorphic automorphisms of bounded domains
p. 94-95

Sommaire du Fascicule no. 4

When is the multiplicity of a weight equal to 1?
p. 1-13
Differential inclusions with nonstationary maximal monotone operators
p. 14-24
Differential geometry of strongly integrable systems of hydrodynamic type
p. 25-30
Galois groups, Stokes operators and a theorem of Ramis
p. 31-42
Quantization of finite-gap potentials and nonlinear quasiclassical approximation in nonperturbative string theory
p. 43-53
Contact analogues of the Virasoro algebra
p. 54-62
A two-point problem for a certain class of multivalued functionals
p. 63-73
Contact homogeneous spaces
p. 74-75
Sheaves on a loop group and langlands duality
p. 76-77
Finite-dimensional representations of the Lie algebra $sl_2\rightthreetimes\mathbb{R}^2$
p. 78-79
Twisted function algebras on a compact quantum group and their representations
p. 80-81
Structure of certain Verma modules over affine Lie algebras
p. 82-83
Twistorial transformation of conformally einstein quaternionic manifolds
p. 84-85
Some properties of Banach $L_1(G)$-modules
p. 86-87
Conditions for the finiteness of the singular spectrum in the self-adjoint friedrichs model
p. 88-89
Spectral analysis of a singular boundary-value problem modeling the vibrations of the atmosphere
p. 90-91
Fuchsian groups with carleson limit sets
p. 92-93
Asymptotic of the limit phases in a problem of potential scattering
p. 94-95