Geodesic

Sommaire du Fascicule no. 1

Integration of Some Differential-Difference Nonlinear Equations Using the Spectral Theory of Normal Block Jacobi Matrices
p. 1-21
Integral Models of Representations of Current Groups
p. 22-32
Invariant Ordering on the Simply Connected Covering of the Shilov Boundary of a Symmetric Domain
p. 33-38
The Classification of Nonsingular Multidimensional Dubrovin--Novikov Brackets
p. 39-52
The PRV-Formula for Tensor Product Decompositions and Its Applications
p. 53-62
Bosonic Formulas for Affine Branching Functions
p. 63-77
Linear Extensions Associated with Abstract Functional Operators
p. 78-82
Projective Characters of the Infinite Generalized Symmetric Group
p. 82-85
Racah Operators for the Group of Motions
p. 85-88
On Characteristic Classes of $Q$-manifolds
p. 88-91
Topological Recursion Relation for $\psi_1\psi_2$ in $\overline{\mathcal{M}}_{2,2}$
p. 91-94

Sommaire du Fascicule no. 2

The Editorial Board congratulates S.~P.~Novikov with his 70th birthday
Universal Abelian Covers of Rational Surface Singularities and Multi-Index Filtrations
p. 3-10
On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm--Liouville Operator
p. 11-22
Topology of Real Algebraic Curves
p. 23-27
The Lorentz-Invariant Deformation of the Whitham System for the Nonlinear Klein--Gordon Equation
p. 28-43
Removable Singularities of Solutions of Linear Uniformly Elliptic Second Order Equations
p. 44-55
Desingularizations of Schubert Varieties in Double Grassmannians
p. 56-67
Sharp Conditions of Global Existence for the Quasilinear Schr\"{o}dinger Equation
p. 68-74
Quasi-Weyl Asymptotics of the Spectrum of the Vector Dirichlet Problem
p. 75-78
A Generalized Khintchine Inequality in Rearrangement Invariant Spaces
p. 78-81
Obstructions to the Equivalence of Poisson Structures Near a Symplectic Leaf of Semisimple and Compact Type
p. 81-84
Weakly Compact Homomorphisms of Regular Banach Algebras
p. 85-89
Continuous Selections as Parametrically Defined Integrals
p. 89-94

Sommaire du Fascicule no. 3

New Simple Modular Lie Superalgebras as Generalized Prolongs
p. 1-9
The Statistics of Particle Trajectories in the Homogeneous Sinai Problem for a Two-Dimensional Lattice
p. 10-22
Nonintersecting Paths and the Hahn Orthogonal Polynomial Ensemble
p. 23-44
On the Completeness of the System of Root Vectors of the Sturm--Liouville Operator with General Boundary Conditions
p. 45-52
On (2+1)-Dimensional Hydrodynamic Type Systems Possessing a Pseudopotential with Movable Singularities
p. 53-62
Nonmatricial Version of the Arveson--Wittstock Extension Principle, and Its Generalization
p. 63-70
On Jordan Ideals and Submodules: Algebraic and Analytic Aspects
p. 71-75
On the Measure with Maximal Entropy for the Teichm\"uller Flow on the Moduli Space of Abelian Differentials
p. 75-77
On the Cauchy Problem for a Class of Degenerate Differential Equations with Lipschitz Right-Hand Side
p. 78-81
On the Uniform Kreiss Resolvent Condition
p. 81-84
Perturbations of Strongly Continuous Operator Semigroups, and Matrix Muckenhoupt Weights
p. 85-89
Quaternion Normed Space with Isometry Group~$\mathbb{Z}_2$
p. 90-92
On the Continuity of the Support of Bimodules over Maximal Abelian Self-Adjoint Algebras
p. 93-95

Sommaire du Fascicule no. 4

Spectral Boundary Value Problems in Lipschitz Domains for Strongly Elliptic Systems in Banach Spaces $H_p^\sigma$ and~$B_p^\sigma$
p. 2-23
Solution of the Problem of Differentiation of Abelian Functions over Parameters for Families of $(n,s)$-Curves
p. 24-36
Integral Models of Unitary Representations of Current Groups with Values in Semidirect Products
p. 37-49
Horospherical Transform on Riemannian Symmetric Manifolds of Noncompact Type
p. 50-59
Diffeomorphisms with Intermingled Attracting Basins
p. 60-71
Family Algebras and Generalized Exponents for Polyvector Representations of Simple Lie Algebras of Type~$B_n$
p. 72-82
Difference Operators and Determinantal Point Processes
p. 83-97
Discrete Series of Representations for the Modular Double of the Quantum Group $U_q(\operatorname{sl}(2,\mathbb{R}))$
p. 98-104
The Limit Absorption Principle and Homogenization Procedure for Periodic Elliptic Operators
p. 105-108