Geodesic

Sommaire du Fascicule no. 1

Pseudoquaternion Geometry
p. 1-15
Riesz Products, Random Walks, and the Spectrum
p. 16-29
Diffeomorphisms of the Circle and the Beurling--Helson Theorem
p. 30-35
Sharp Pointwise Interpolation Inequalities for Derivatives
p. 36-58
Belavin Elliptic $R$-Matrices and Exchange Algebras
p. 59-74
Growth Order of an Operator Exponential on Entire Vectors
p. 75-78
Combinatorics of Multiboundary Singularities $B_n^l$ and the Bernoulli--Euler Numbers
p. 78-81
Some Inequalities Related to Hadamard Matrices
p. 81-85
Strictly Singular Embeddings
p. 85-87
Birational Automorphisms of Algebraic Varieties with a Pencil of Fano Double Covers
p. 88-90
Four $M$-Curves of Degree $\boldsymbol{8}$
p. 90-93
On the Values of Exponential Growth Rates for Groups with a Small Cancellation Condition
p. 93-95

Sommaire du Fascicule no. 2

Optimization in Mean and Phase Transitions in Controlled Dynamical Systems
p. 1-11
Classification of Measurable Functions of Several Variables and Invariantly Distributed Random Matrices
p. 12-27
The Best Extension Operators for Sobolev Spaces on the Half-Line
p. 28-37
Optimality Conditions for Smooth Monge Solutions of the Monge--Kantorovich problem
p. 38-44
Isoenergy Spectral Problem for Multidimensional Difference Operators
p. 45-61
A Remark on the Fourier Pairing and the Binomial Formula for the Macdonald Polynomials
p. 62-68
On the Restricted Lie Algebra Structure of the Witt Lie Algebra in Finite Characteristic
p. 69-74
Description of the Real von Neumann Algebras with Abelian Skew-Symmetric Part
p. 75-77
On the Branching Points of the Spectrum of an Algebraic Extension of a Uniform Algebra
p. 77-80
Homogeneous Nondegenerate Hypersurfaces in $\mathbb{C}^3$ with Two-Dimensional Isotropy Groups
p. 80-83
On the Spectral Theory of Operator Measures
p. 83-89
Fixed Points of Multivalued Contractions
p. 89-92
Euler Characteristic of Spaces of Real Meromorphic Functions
p. 92-94

Sommaire du Fascicule no. 3

The Longest Curves of Given Degree and the Quasicrystallic Harnack Theorem in Pseudoperiodic Topology
p. 1-8
Compatible Lie Brackets and Integrable Equations of the Principal Chiral Model Type
p. 9-19
On Sums of Projections
p. 20-35
Compatible Metrics of Constant Riemannian Curvature: Local Geometry, Nonlinear Equations, and Integrability
p. 36-47
Comparison of Thermodynamic Characteristics of a Potential Well under Quantum and Classical Approaches
p. 48-55
On the Finiteness of the Discrete Spectrum of a Four-Particle Lattice Schr\"odinger Operator
p. 56-60
On the Exact $\mathcal{K}$-Monotonicity of Banach Couples
p. 60-63
Singularities of Families of Chords
p. 63-68
Hausdorff Dimension of the Set of Generic Points for Gibbs Measures
p. 68-71
On a Model Problem for the Orr--Sommerfeld Equation with Linear Profile
p. 71-75
On the Essential Spectrum of a Class of Matrix Differential Operators
p. 76-78
Classification of Finite Factor Representations of the $(2m+1)$-Dimensional Heisenberg Group over a Countable Field of Finite Characteristic
p. 79-83
Anti-Vandermonde Systems and Plane Trees
p. 83-87
Multipliers on the Set of Rademacher Series in Symmetric Spaces
p. 87-90
New $M$-Curve of Degree 8
p. 90-93
Spectral Shift Function of the Schr\"odinger Operator in the Large Coupling Constant Limit
p. 93-95

Sommaire du Fascicule no. 4

Elliptic Families of Solutions of the Kadomtsev--Petviashvili Equation and the Field Elliptic Calogero--Moser System
p. 1-17
Polynomial Lie Algebras
p. 18-34
A New Notion of Defect for Holomorphic Curves and Their Sequences
p. 35-45
Kazhdan Constants of Hyperbolic Groups
p. 46-54
On Limits of Mishchenko--Fomenko Subalgebras in Poisson Algebras of Semisimple Lie Algebras
p. 55-64
Linear Relations, Differential Inclusions, and Degenerate Semigroups
p. 65-70
Root Configurations for Hyperbolic Polynomials of Degree 3, 4, and 5
p. 71-74
A Sturm--Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter
p. 74-77
Normal Decompositions of Operator Spaces over Locally Convex Spaces
p. 78-80
On Functions Whose All Critical Points Are Contained in a Ball
p. 80-83
Translation Continuous Functionals on $C_B(\mathbb{R})$ and Their Supports
p. 84-87
Invariant Subspaces of Operator Lie Algebras and the Theory of $K$-Algebras
p. 88-91