Geodesic

Sommaire du Fascicule no. 1

An ergodic theorem for functions of normal operators
p. 1-6
Index of a singular point of a gradient vector field
p. 7-12
A bound, in terms of its volume, for the number of vertices of a convex polyhedron when the vertices have integer coordinates
p. 13-15
Conditions for similarity to unitary and self-adjoint operators
p. 16-27
Infinite-dimensional classical groups of finite $r$-rank: Description of representations and asymptotic theory
p. 28-42
A cocycle for the symplectic first chern class and the maslov index
p. 43-48
Classification of nonsingular surfaces of degree $4$ in $\mathbb{RP}^3$ with respect to rigid isotopies
p. 49-56
Extensions of $J$-isometric and $J$-symmetric operators
p. 57-58
Geometrical properties of the space $\varphi(X,Y)$
p. 59-60
A bound for the rate of decrease of correlation in one-dimensional dynamical systems
p. 61-62
The grothendieck property in lorentz sequence spaces
p. 63-64
One-dimensional Schr\"odinger operator with accelerating potential
p. 65-66
Values at the positive integral points of the zeta-function of the hill operator with a finite-zone potential
p. 67-69
Asymptotic spectrum of nonquasihomogeneous polynomials
p. 70-71
G. Szeg\"o's limit theorem in the multidimensional case
p. 72-73
Polynomial covariants of the symmetric group and some of its analogs
p. 74-75
Kostant function of the root system $A_n$
p. 76-77
Serre duality for projective supermanifolds
p. 78-79
Representations of the Lie superalgebras $\mathfrak{gl}(n,m)$ and $Q(n)$ on the space of tensors
p. 80-81
Invariant elements in a modular lattice
p. 82-83
Some criteria for the existence of divisors of a holomorphic operator function
p. 84-85
Invariant subspaces and properties of the spectra of plus-operators with a quasifocusing power in a Krein space
p. 86-87
Discrete groups of reflections in the complex ball
p. 88-89
Focal set of a surface with boundary, and caustics of groups generated by reflections $B_k$, $C_k$, and $F_4$
p. 90-91

Sommaire du Fascicule no. 2

Inner functions on compact spaces
p. 1-13
Estimate of the number of zeros of an abelian integral depending on a parameter and limit cycles
p. 14-25
Integral formulas and integral geometry for $\bar\partial$-cohomologies in $\mathbb{CP}^n$
p. 26-39
Real analytic varieties with the finiteness property and complex abelian integrals
p. 40-50
Vanishing inflections
p. 51-52
Characteristic classes of supergauge fields
p. 53-54
Reduction method for Wiener--Hopf integral operators with piecewise continuous symbols in $L_p$ spaces
p. 55-56
Generators and relations in compact Lie groups
p. 57-58
Deformations of complex structures on supermanifolds
p. 59-60
Certain remarks on the multiplicators of the cauchy type integrals and Sarason algebras
p. 61-62
Manifolds with split (into halves) stable normal bundles in phase spaces
p. 63-64
Asymptotics of the eigenvalues of operators with a poisson algebra of symmetries in the highest symbol
p. 65-66
Weakly connected systems with nonpropagating waves
p. 67-68
System $\{e^{\alpha nz}\sin nz\}_1^\infty$
p. 69-70
Solvability conditions for the first-order Cauchy problem in a Banach space
p. 71-72
Number of zeros of complete elliptic integrals
p. 73-74
A symmetric Banach space of functions, not containing $l_p$ ($1\lambda p\infty$) and $c_0$
p. 75-76
Spectral properties of elements of normed algebras and invariant subspaces
p. 77-78
A form of infinite-dimensional polytopes
p. 79-80
Topological structure of elliptic boundary problems in space
p. 81-82
Geometry of the category of complexes and algebraic $K$-theory
p. 83-84
Invariant subspaces of Volterra operators
p. 85-86
Convex sets of almost-normal structure
p. 87-88
A theorem on uniform correctness of a Cauchy problem and its application
p. 89-91
Two classical extensions of the vector lattice of continuous functions
p. 92-93
Codimension of subspaces of $L_p(\mu)$ for $p1$
p. 94-95

Sommaire du Fascicule no. 3

Finite irreducible groups, generated by reflections, are monodromy groups of suitable singularities
p. 1-13
Models of representations of classical groups and their hidden symmetries
p. 14-31
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane
p. 32-42
The laplace method, algebraic curves, and nonlinear equations
p. 43-56
Classification of linear operators in a finite-dimensional unitary space
p. 57-62
Inverse spectral problem for limit-periodic Schr\"odinger operators
p. 63-66
Classification of injective $JW$-factors
p. 67-68
Cohomology of supermanifolds
p. 69-70
Sternberg's theorem for Banach spaces
p. 71-72
Periodic finite-zone solutions of the sine-Gordon equation
p. 73-74
Three problems of aronszajn in measure theory
p. 75-76
Finitely additive measures on $S^2$ and $S^3$, invariant with respect to rotations
Meromorphic solutions of first-order algebraic differential equations
p. 78-79
Construction of canonical coordinates on orbits of the coadjoint representation of graded Lie groups
p. 80-81
Sharp linear operators
p. 82-83
Asymptotic behavior of the spectrum of problems of the form $Au=tBu$ for operators that are elliptic in the Douglis--Nirenberg sense
p. 84-85
Independence from the subspace parameter, related to finite meromorphic operator-functions
p. 86-87
Existence of a generalized Floquet basis
p. 88-89
Method of isomonodromy deformations and asymptotics of the third Painlev\'e transcendent
p. 90-91
Weight properties of exponentials of multidimensional singular integrals
p. 92-93
Stable cohomology of the algebra $W_n$ and relations in the algebra $L_1$
p. 94-95

Sommaire du Fascicule no. 4

Two-term asymptotics of the spectrum of a boundary-value problem under an interior reflection of general form
p. 1-13
Reduction of manifolds of rational curves and related problems of the theory of differential equations
p. 14-39
Newton polyhedra and zeros of systems of exponential sums
p. 40-49
Topological pressure and the variational principle for noncompact sets
p. 50-63
Quantum anomalies and cocycles on gauge groups
p. 64-72
Rotation numbers that have nothing to do with the KAM theory
p. 73-74
Schubert supercells
p. 75-76
Central extensions and invariant forms of cartan type Lie algebras of positive characteristic
p. 77-78
Minimal $K$-types and classification of irreducible representations of reductive Lie groups
p. 79-80
Versal deformations of differential forms of degree $\alpha$ on a line
p. 81-82
Bargmann's generalized potentials and soliton solutions of equations of toda periodic lattice of the series $A_k$
p. 83-85
Characters of finite-dimensional irreducible representations of the Lie algebra $sl(n)$
p. 86-87
Existence of the leading eigenvalue for the problem of $P_1$-approximation of a kinetic equation
p. 88-89
Structure of the spectrum of a lacunary-limit-periodic Schr\"odinger operator
p. 90-91
Unitary representations of the diffeomorphism group of the $p$-adic projective line
p. 92-93
Nondegeneracy of the equations related to the method of difference potentials
p. 94-95