Geodesic

Sommaire du Fascicule no. 1

Idempotent analysis as a tool of control theory and optimal synthesis.~I
p. 1-14
Generating functional of correlation functions for the nonlinear Schr\"odinger equation
p. 15-23
Algebras of virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces
p. 24-40
Prymians of real curves and their applications to the effectivization of Schr\"odinger operators
p. 41-56
Verdier elliptic solitons and the Weierstrass theory of reduction
p. 57-58
Ergodic properties of transformations of an interval
p. 59-60
Local indexes of iterates of a holomorphic map
p. 61-62
Eigenvalues of the equation $Au=\lambda Bu$ on a compact manifold without boundary
p. 63-64
Lagrangian projections of invariant tori of Hamiltonian systems with two degrees of freedom
Mechanism of instability of an equilibrium of natural systems
p. 66-67
Poisson brackets associated with the classical Yang--Baxter equation
p. 68-69
Singularities and normal forms of odd-dimensional Pfaff equations
p. 70-71
Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter
p. 72-73
Iteration of a polynomial, basis, and the operator of multiplication by $z$
p. 74-75
Special vectors in Verma modules over affine algebras
p. 76-77
Certain properties of the roots of a weakly hyperbolic operator pencil
p. 78-79
Eigenvalues of a certain quadratic pencil of operators
p. 80-81
Method of excision of singularity for bisingular integral operators with continuous coefficients
p. 82-83
Integrable mappings of the standard type
p. 84-85
Spectrum of infinite-dimensional Banach spaces
p. 86-87
Algebras of bounded functions with smooth coanalytic part
p. 88-89
Multiplicity of the spectrum of representations connected with integrable $G$-invariant Hamiltonian systems
p. 90-91
Linear differential equations and real flag manifolds
p. 92-93

Sommaire du Fascicule no. 2

Spectral theory of a pencil of skew-symmetric differential operators of third order on $S^1$
p. 1-11
Hypergeometric functions and toral manifolds
p. 12-26
Cobordisms of symplectic and contact manifolds
p. 27-31
Smooth transition type integral operators
p. 32-39
Stationary and nonstationary stability of periodic solutions of reversible systems
p. 40-48
Hamiltonian string formalism and discrete groups
p. 49-54
Number of critical points for a quasiperiodic potential
p. 55-56
Differential-geometric Poisson brackets on a lattice
p. 57-59
Sum regions of weakly convergent series
p. 60-62
Toric bundles and problems of linear algebra
p. 63-64
A precise estimate of the remainder of an asymptotic spectral series of general elliptic boundary-value problems
p. 65-66
Families of unbounded self-adjoint operators connected by non-Lie relations
p. 67-68
Essentially typical representations of Lie superalgebras $\mathfrak{gl}(n|m)$ in the Gel'fand-Tsetlin basis
p. 69-70
Algebraic $K$-theory of Grassmann varieties and their convoluted forms
p. 71-72
BMO-strong means of Fourier series
p. 73-74
Noncommutative homology of quantum tori
p. 75-76
Similarity of an operator to an isometric operator
p. 77-78
Systems of three differential equations of hydrodynamic type with hexagonal 3-web of characteristics on the solutions
p. 79-80
Two projections of singular vectors of Verma modules over the affine Lie albegra $A_1^1$
p. 81-83
Automorphisms of semisimple real Lie algebras
p. 84-85
Projection lattices in a Hilbert space
p. 86-87
Complex zeros of an elliptic integral
p. 88-89
Characteristic classes of Lagrangian foliations
p. 90-91
Curvature and linear subbundles of holomorphic vector bundles
p. 92-93
A remark on the Aleksandrov diameters of finite-dimensional sets
p. 94-95

Sommaire du Fascicule no. 3

Spaces of functions with moderate singularities
p. 1-10
Integral geometry on families of k-dimensional submanifolds
p. 11-23
The algebra of integrals of motion of two-dimensional hydrodynamics in clebsch variables
p. 24-31
A spinor representation of an infinite-dimensional orthogonal semigroup and the virasoro algebra
p. 32-44
Sklyanin elliptic algebras
p. 45-54
Spectral multiplicity of the operator of multiplication by a matrix-valued function
p. 55-56
Irreducible weighted $sl(3)$-modules
p. 57-58
Topology of the zeros of eigenfunctions
p. 59-60
Semiinfinite cohomology of lie superalgebras
p. 61-62
Tableaux and noncommutative Schubert polynomials
p. 63-64
Example of gauge equivalence of multidimensional integrable equations
p. 65-66
Basicity of a portion of a root system of a polynomial bundle
p. 67-68
Conformal nonlinear graviton
p. 69-70
Similarity transformations and spectral properties of hypoelliptic pseudodifferential operators on a circle
p. 71-72
Solution of the inverse scattering problem for the Landau--Lifshits equation by the Gel'fand--Levitan--Marchenko method
p. 73-75
The Gel'fand--Tsetlin basis for irreducible unitarizable representations $u(p,q)$ with a leading weight
p. 76-77
Bilateral estimates of polynomial conservation laws for the KdV equation and their applications
p. 78-79
Irreducible representations of maximal dimension of simple Lie algrbras over a field of positive characteristic
p. 80-81
Limit sets of trajectories of regions in dynamical systems
p. 82-83
The discrete and the singular spectrum in the trace formula for contracting and unitary operators
p. 84-85
An infinitely smooth compact convex hypersurface with a shadow whose boundary is not twice-differentiable
p. 86-87
Spectral properties of the scattering matrix
p. 88-89
Perfect elements in the modular structure associated with the extended Dynkin diagram $\widetilde{e}_6$
p. 90-92
Category of oriented tangles and its representations
p. 93-94

Sommaire du Fascicule no. 4

Korteweg--de Vries equation with finite-gap boundary conditions, and the Whitham deformations of Riemann surfaces
p. 1-10
Boas--Buck structures on sequences of polynomials
p. 11-23
Topology of spaces of functions without compound singularities
p. 24-36
Periodic maps in symplectic topology
p. 37-52
Idempotent analysis as a tool of control theory and optimal synthesis.~2
p. 53-62
Existence of solutions entering at a singular point of an autonomous system having a formal solution
p. 63-74
A polynomial diffeomorphism of a ball without invariant measures
p. 75-76
Quantized hypercomplex systems
p. 77-78
Rapidly decreasing potentials on a background of finite-zone potentials and the $\partial$-problem on Riemann spaces
p. 79-80
Matrix analogues of elliptic functions
p. 81-82
Nonholonomic $\mathcal{D}$-modules and nonconstructible perverse sheaves
p. 83-84
Norm of a linear combination of projectors in Hilbert space
p. 85-86
Unstable points of the spectrum of a periodic difference operator
p. 87-88
An explicit expression for the remainder in the Pizzetti formula
p. 89-91
Purely complex local Lie algebras
p. 92-93
Solvability of integral equations of the first kind of volterra type
p. 94-95