Geodesic

Sommaire du Fascicule no. 1

50th Anniversary of Our Journal
Infinite-Dimensional Lie Algebras Determined by the Space of Symmetric Squares of Hyperelliptic Curves
p. 4-27
On the Relationship between Combinatorial Functions and Representation Theory
p. 28-39
A Criterion of Smoothness at Infinity for an Arithmetic Quotient of the Future Tube
p. 40-59
Triangular Reductions of the $2D$ Toda Hierarchy
p. 60-81
Spectral Properties of the Complex Airy Operator on the Half-Line
p. 82-98

Sommaire du Fascicule no. 2

Lyudvig Dmitrievich Faddeev
p. 3-6
Mikhail Semenovich Agranovich
p. 7-9
Moduli algebras of some non-semiquasihomogeneous singularities
p. 10-24
Multiplication of conjugacy classes, colligations, and characteristic functions of matrix argument
p. 25-41
On operators with orbits dense relative to nontrivial subspaces
p. 42-56
Cohomology of the rational ``electric'' tetrahedron relation
p. 57-71
Spectra of $3\times 3$ upper triangular operator matrices
p. 72-82
A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point
p. 83-86
A short and simple proof of the Jurkat--Waterman theorem on conjugate functions
p. 87-91
On homogenization for non-self-adjoint locally periodic elliptic operators
p. 92-96
Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains
p. 97-100

Sommaire du Fascicule no. 3

The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications
p. 4-21
On equivariant indices of 1-forms on varieties
p. 22-32
Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions
p. 33-55
An analogue of the big $q$-Jacobi polynomials in the algebra of symmetric functions
p. 56-76
On convolutions in Hilbert spaces
p. 77-80
Trace formulas for a discrete Schr\"odinger operator
p. 81-86
Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients
p. 87-93
Systems of dilated functions: Completeness, minimality, basisness
p. 94-97
Reduced synthesis in harmonic analysis and compact synthesis in operator theory
p. 98-102

Sommaire du Fascicule no. 4

Logarithmic differential forms on varieties with singularities
p. 3-15
On Lie’s problem and differential invariants of ODEs $y''=F(x,y)$
p. 16-25
On properties of topological pressure
p. 26-33
A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields
p. 34-49
On unconditional bases of reproducing kernels in Fock-type spaces
p. 50-61
A class of Banach algebras of generalized matrices
p. 62-71
Combinatorics of a statistical model constructed from the $2\times n$ square lattice
p. 72-78
On real solutions of systems of equations
p. 79-83
Conditions for invertibility and Hurwitz stability
p. 84-89
On products of nuclear operators
p. 90-91
On the equivalence of certain statements on fixed points of contractions
p. 92-95