Geodesic

Sommaire du Fascicule no. 1

The complex exponent of a singularity does not change along strata $\mu=\mathrm{const}$
p. 1-12
Manifolds of polynomials having a root of fixed multiplicity, and the generalized newton equation
p. 13-18
Rational solutions for the equation of commutation of differential operators
p. 19-24
Spectral theory of commuting operators of rank two with periodic coefficients
p. 25-26
Real two-zone solutions of the sine-Gordon equation
p. 27-43
Singularities of the boundary of the stability domain
p. 44-48
A functional equation from theoretical physics
p. 49-57
Triangular representations of operators with unitary spectrum
p. 58-59
Interpolation of quasilinear operators and inequalities for entire functions in symmetric spaces
p. 60-61
Existence of surface conditions for nonclassical self-adjoint extensions of the Laplace operator
p. 62-63
One description of the self-dual solutions of the Einstein equation with a cosmological term
p. 64-65
Fast decreasing functions and characters of real algebraic groups
p. 66-67
Almost-invariant properties of analytic operator families
p. 68-69
Spectrum, adjoining the real axis, in a problem of elasticity theory
p. 70-71
Classification of evolution equations by conservation laws
p. 72-73
Description of regular extensions of Hermitian operators
p. 74-75
Irreducible representations of Lie superalgebras of vector fields and invariant differential operators
p. 76-77
Null-geodesics of complex Einstein spaces
p. 78-79
Integration of the nonlinear two-dimensional spatial Schrodinger equation by the inverse-problem method
p. 80-82
Normal oscillations of a viscous liquid partly filling an elastic vessel
p. 83-84
A class of hardy-type spaces of operator-valued functions
p. 85-86
Perfect elements of free modular lattices
p. 87-88
Quantum and classical lattices for two-dimensional principal Chiral fields
p. 89-90
Transitivity of some operator spaces
p. 91-92

Sommaire du Fascicule no. 2

Fisher--Hartwig conjecture in the theory of Toeplitz matrices
p. 1-6
Mapping of periods and intersection form
p. 7-20
Analytic classification of pairs of involutions and its applications
p. 21-29
Accurate spectral asymptotics for elliptic operators that act in vector bundles
p. 30-38
Asymptotics of the solution of the Dirichlet problem in domains with a thin crosspiece
p. 39-46
Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
p. 47-63
Complementability of subspaces generated by independent functions in a symmetric space
p. 64-65
Complementability of subspaces generated by independent functions in a symmetric space
p. 66-67
Self-intersections of wave fronts and Legendre (Lagrangian) characteristic numbers
p. 68-69
Constructions of the Weil representations of certain simple Lie algebras
p. 70-71
Partially ordered sets of finite growth
p. 72-73
Elliptic operators with boundary conditions on a subset of measure zero
p. 74-75
Spectral polyhedron of a sum of two Hermitian matrices
p. 76-77
Infinite-dimensional analog of Zigel's theorem
p. 78-79
A Lax representation for systems of S. Kovalevskaya type
p. 80-81
Spectral asymptotics of normal operators
p. 82-83
Analyticity of almost periodic functions with bounded Bloch spectrum
p. 84-85
A criterion for normality of operators in Hilbert space
p. 86-87
Polymorphisms and partitions of Lebesgue spaces
p. 88-89
Second dual of a von Neumann algebra
Asymptotic behavior of powers of a positive operator
p. 91-93
Germs of maps, analytically not equivalent with their formal normal form
p. 94-95

Sommaire du Fascicule no. 3

Solutions of the classical Yang--Baxter equation for simple Lie algebras
p. 1-29
Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics.~I
p. 30-41
Transformation of Sturm--Liouville differential equations
p. 42-44
A nonlinear generalization of the shearing transformation
p. 45-46
Inner functions as multipliers of the spaces $D_\alpha$
p. 47-48
Nonlocal inversion formulas in a problem of integral geometry related to $p$-dimensional planes in real projective space
p. 49-51
Resolvent comparability of certain boundary-value problems
p. 52-53
A curve of fifth order with five cusps
p. 54-55
Complex topological characteristics of real algebraic curves on surfaces
p. 56-57
Relation between some properties of convexity of the unit ball of a Banach space
p. 58-60
Operators in $C^{(1)}$, induced by smooth mappings
p. 61-62
Integrable evolution equations: A family of Hamiltonian structures and reductions
p. 63-65
Complexes of multidimensional planes in projective space
p. 66-67
Functions on symmetric spaces which are periodic in the mean
p. 68-69
A property of hyperelliptic curves
p. 70-71
Stability of the essential spectrum of operators close to a unitary operator
p. 72-73
Necessary conditions for the existence of a transformation operator for higher-order equations
p. 74-75
Integral geometry on linear complexes of lines
p. 76-77
Interpolation in quasi-Banach Orlicz spaces
p. 78-79
Theory of self-adjoint operators generated by strongly singular, second-order expression of divergence type
p. 80-81
Homological dimension of ideals of functional algebras and analytic structure
p. 82-83
Transforming elements that connect coxeter transformations and conditions for regularity of roots
p. 84-85
Invariant differential operators of general position
p. 86-87
Sharp estimates of the remainder in the spectral asymptotic for pseudodifferential operators in $\mathbb{R}^n$
p. 88-89
Which 2-forms are locally, curvature forms?
p. 90-91
Some remarks on the Chevalley theorem
p. 92-93
Classification of the reductions of the equations of principal chiral fields
p. 94-95

Sommaire du Fascicule no. 4

Hamiltonian operators and the classical Yang--Baxter equation
p. 1-9
The Peierls model
p. 10-26
Some algebraic structures connected with the Yang--Baxter equation
p. 27-34
Structure of transversal leaves in multidimensional semidispersing billiards
p. 35-46
Spectral properties of the Schr\"odinger operator with a potential having a slow falloff
p. 47-54
Self-adjoint infinite-dimensional elliptic differential operators with a singular potential
p. 55-56
$B$-algebra of almost-periodic functions
p. 57-58
Finitely defined local phase portraits of vector fields
p. 59-60
Langlands conjecture on conjugation of the Shimura varieties
p. 61-62
Asymptote of the intersection form of a quasihomogeneous singularity of functions
p. 63-65
Spectrum of the Schr\"odinger operator with periodic potential in a two-dimensional strip
p. 66-67
Local and global solutions of algebraic equations
p. 68-69
An analogue of the wiener criterion for the zaremba problem in a cylindrical domain
p. 70-71
A conjecture on the existence of asymptotic motions in classical mechanics
p. 72-73
A theorem on the coincidence of spectra for random elliptic operators
p. 74-75
Perturbations of secondary-quantization operators
p. 76-77
The maximum-entropy measure of a rational endomorphism of the Riemann sphere
p. 78-79
Invariant orderings in simple Lie groups. The solution to \'E. B. Vinberg's problem
p. 80-81
A formula for the hausdorff measure of a twodimensional hyperbolic attractor
p. 82-83
Banach spaces without approximation property
p. 84-85
Evolution equations with nontrivial conservative laws
p. 86-87
Spectrum of multidimensional operators with periodic coefficients
p. 88-89
Representation models and generalized Clifford algebras
p. 90-91
Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions
p. 92-93
Frobenius Lie algebras
p. 94-95