Geodesic

Sommaire du Fascicule no. 1

Fermat--Euler Dynamical Systems and the Statistics of Arithmetics of Geometric Progressions
p. 1-18
Factorization of Operator Functions in a Hilbert Space
p. 19-24
Witten Solution for the Gelfand--Dikii Hierarchy
p. 25-37
Tri-Hamiltonian Structures of Egorov Systems of Hydrodynamic Type
p. 38-54
On Solvability of Functional Equations Relating to Dynamical Systems with Two Generators
p. 55-72
Homological Dimensions of the Algebra Formed by Entire Functions of Elements of a Nilpotent Lie Algebra
p. 73-77
Irreducibility Criterion for Quasiregular Representations of the Group of Finite Upper Triangular Matrices
p. 78-81
Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum
p. 81-84
A Schr\"odinger Operator with $\delta'$-Interaction
p. 85-88
On Nontrivial Solutions of a Nonlinear Schr\"odinger Equation with Magnetic Field
p. 88-91
Polynomial Hurwitz Numbers and Intersections on $\overline{\mathcal{M}}_{0,k}$
p. 92-94

Sommaire du Fascicule no. 2

Central Elements of the Elliptic Yang--Baxter Algebra at Roots of Unity
p. 1-6
Weakly Outer Inner Functions
p. 7-15
Mathematical Aspects of Weakly Nonideal Bose and Fermi Gases on a Crystal Base
p. 16-27
The Liouville Canonical Form for Compatible Nonlocal Poisson Brackets of Hydrodynamic Type and Integrable Hierarchies
p. 28-40
On the Commutativity of Weakly Commutative Riemannian Homogeneous Spaces
p. 41-51
Resolution of Corank $1$ Singularities of a Generic Front
p. 52-64
On the Monodromy of a Multivalued Function Along Its Ramification Locus
p. 65-74
On Functionals Bounded Below
p. 75-80
Free Algebras of Automorphic Forms on the Upper Half-Plane
p. 81-89
Spectral Components of Operators with Spectrum on a Curve
p. 90-91
Preduals of von Neumann Algebras
p. 92-94

Sommaire du Fascicule no. 3

Perestroikas of Convexified Apparent Contours and Global Phase Diagrams in Thermodynamics
p. 1-19
The Topology of Algebra: Combinatorics of Squaring
p. 20-35
Inductive Limits of Area-Preserving Diffeomorphism Groups
p. 36-50
Optimal Recovery of Functions and Their Derivatives from Inaccurate Information about the Spectrum and Inequalities for Derivatives
p. 51-64
The Paley--Wiener Theorem for the Generalized Radon Transform on the Plane
p. 65-72
Some New Extrapolation Estimates for the Scale of $L_p$-Spaces
p. 73-77
An Analytic Proof of the Nonintegrability of the ABC-flow for $A=B=C$
p. 77-80
The Asymptotics of the Number of Eigenvalues of a Three-Particle Lattice Schr\"odinger Operator
p. 80-84
An Analog of the Poincar\'e Separation Theorem for Normal Matrices and the Gauss--Lucas Theorem
p. 85-88
On the Stability of Bifurcation Diagrams of Vanishing Flattening Points
p. 88-94

Sommaire du Fascicule no. 4

Preface
Review of the Works of I.\,M.~Gelfand Nominated to the Stalin Prize
p. 3-5
Teacher about His Disciple. Four Reviews by A.\,N.~Kolmogorov on the Works of I.\,M.~Gelfand (On the 90th Birthday of Izrail Moiseevich Gelfand)
p. 3-12
Review of the Works by I.\,M.~Gelfand on Unitary Representations of Continuous Groups
p. 5-7
Review of the Works of I.\,M.~Gelfand and M.\,A.~Naimark on Unitary Representations of Lie Groups
Review of the Works by I.\,M.~Gelfand (in Connection of His Nomination for the Election as a Full Member of the USSR Academy of Sciences)
p. 8-12
Egorov Hydrodynamic Chains, the Chazy Equation, and $SL(2,\mathbb{C})$
p. 13-26
Generating Elements of the Annihilating Ideal for Modular Symbols
p. 27-38
Asymptotics of the Uniform Measures on Simplices and Random Compositions and Partitions
p. 39-48
Probability Measures on Dual Objects to Compact Symmetric Spaces and Hypergeometric Identities
p. 49-73
On the Nonrepresentability of Functions of Several Variables by Quadratures
p. 74-85
The Generalized Moment Problem Associated with Correlation Measures
p. 86-91
On Sums of Projections in $C^*$-Algebras
p. 91-92