Geodesic

Sommaire du Fascicule no. 1

Hadamard's Problem and Coxeter Groups: New Examples of Huygens' Equations
p. 3-15
The Limit Shape of Convex Lattice Polygons and Related Topics
p. 16-25
Two-Dimensional Algebraic-Geometric Operators with Self-Consistent Potentials
p. 26-40
On the Integral Equation $u(x)=F(x)+\int G(x,\xi)u_+^{k/2}(\xi)\,d\xi\big/\int u_+^{k/2}(\xi)\,d\xi$
p. 41-50
Weil Representation and Norms of Gaussian Operators
p. 51-67
Functional Models for Representations of Current Algebras and Semi-Infinite Schubert Cells
p. 68-90
A Unified Representation-Theoretic Approach to Special Functions
p. 91-94

Sommaire du Fascicule no. 2

The Hyperbolicity of Phase Curves of a Generic Polynomial Vector Field in $\mathbb{C}^n$
p. 1-11
The A'Campo Theorem on the Discriminant
p. 12-20
On the Irreducibility of Representations of Measurable Current Groups
p. 21-30
Thoma's Theorem and Representations of the Infinite Bisymmetric Group
p. 31-40
Probabilistic Approach to the Analysis of Statistics for Convex Polygonal Lines
p. 41-48
On Quantum Methods in the Representation Theory of Reductive Lie Algebras
p. 49-52
The Number of Components of the Complement of the Level Surface of a Harmonic Polynomial in Three Variables
p. 52-54
Multiparameter Spectral Problems and Commuting Extensions of Symmetric Operators
p. 55-57
On the Eigenvalues of the Perturbed Schr\"odinger Operator with Irrational Magnetic Flow
p. 57-60
Hamiltonian Pairs Associated with Skew-Symmetric Killing Tensors on Spaces of Constant Curvature
p. 60-63
Singularities of Wave Fronts at the Boundary between Two Media
p. 63-66
The Poincar\'e--Lyapunov--Liouville--Arnol'd Theorem
p. 67-69
Examples of Symmetric Differential Operators with Infinite Deficiency Indices on the Line
p. 69-72
Resolutions for $S_n$-Modules, Associated with Rim Hooks, and Combinatorial Applications
p. 72-75
The Skew Field of Rational Functions on $GL_q(n,K)$
p. 75-77
Three-Term Asymptotics of the Discrete Spectrum of the Dirichlet Problem for Domains with Infinite Perimeter
p. 78-79
Boundary Singularities and Symmetric Boundary Singularities
p. 79-82
On the Reducibility of a Linear Differential Equation with Odd Almost-Periodic Coefficients
p. 82-85
Description of the Space of Pseudocharacters Invariant with Respect to a Special Semigroup of Endomorphisms for a Free Semigroup of Rank Two
p. 85-87
On Sequence Spaces Related to Independent Random Elements
p. 87-90
A Generalization of the Kuiper--Massey Theorem
p. 90-91
Maximal Solvable Subalgebras of Lie Superalgebras $\mathfrak{gl}(m|n)$ and $\mathfrak{sl}(m|n)$
p. 92-94

Sommaire du Fascicule no. 3

On Series with Respect to Root Vectors of Operators Associated with Forms Having Symmetric Principal Part
p. 1-21
On the Distribution of the Minimal Solution to a Linear Diophantine Equation with Random Coefficients
p. 22-34
Classification of Pairs of Arf Functions on Orientable and Nonorientable Surfaces
p. 35-46
Projective Structures and Contact Forms
p. 47-60
Generating Functions of Symplectomorphisms
p. 61-65
Kozsul Duality for Quadratic Algebras over a Complex
p. 66-69
Basis Properties of the System of Root Vectors for Weak Perturbations of a Normal Operator
p. 69-73
Jet Invariants of Nonholonomic Distributions
p. 73-77
Deformations of the Hamiltonian Lie Algebra $H(2)$
p. 77-79
Interpolation of Cross-Normed Ideals of Operators Defined on Different Spaces
p. 80-82
Operator Properties of Random Rearrangements
p. 82-85
Yangians of Lie Superalgebras of Type $A(m,n)$
p. 85-88
An Averaging Theorem in $C^*$-Hilbert Modules and Operators without Adjoint
p. 88-92
On the Helmholtz Equation in a Strip with Penetrable Boundary
p. 92-94

Sommaire du Fascicule no. 4

Investigation Scheme for Extremals of Multidimensional Variational Problems
p. 1-15
Representations of Compact Semisimple Lie Algebras over Lagrangian Submanifolds
p. 16-27
Analytic Continuation of Asymptotic Formulas and Axiomatics of Thermodynamics and Semithermodynamics
p. 28-41
A Realization of the Modular Functor in the Space of Differentials and the Geometric Approximation of the Moduli Space of $G$-Bundles
p. 42-65
On Fuchsian Groups of Genus Zero
p. 66-73
A Formula for the Frequency Counting Function of a Thin Shell of Revolution for the Case of a Simple Turning Point
p. 74-77
Characterization of Convex $Z$-Sets in Linear Metric Spaces
p. 77-79
A Criterion for the Weighted Cauchy Singular Operator to Belong to the Algebra of Singular Integral Operators with Coefficients in a Sarason Algebra
p. 80-82
Loss of Smoothness in the Theorem on Differentiable Invariants of Coxeter Groups
p. 82-84
A Discreteness Criterion for the Spectrum of a One-Dimensional Schr\"odinger Operator with $\delta$-Interactions
p. 85-87
Multiplicities of Weights of Some Representations and Convex Polytopes
p. 88-90
On Differential Operators with Nonseparated Boundary Conditions
p. 90-92