Geodesic

Sommaire du Fascicule no. 1

Structure of representations generated by vectors of highest weight
p. 1-9
Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient
p. 10-21
On the division of quasi-polynomials
p. 22-29
Remarks on compactness conditions related to the work of M. I. Kadets on integration of abstract almost-periodic functions
p. 30-36
Exponential bases in $L^2$
p. 37-47
Two-dimensional submanifolds of four-dimensional manifolds
p. 48-60
The invariance principle for generalized wave operators
p. 61-68
On the asymptotic spectrum of ``nonsmooth'' elliptic equations
p. 69-70
On the proof of the discreteness of the spectrum of one class of differential operators in $\mathbb{R}^n$
p. 71-72
On estimates of the coefficients of polynomials approximating continuous functions
p. 73-75
On a problem of L. Schwartz
p. 76-77
Frobenius' theorem for functions of commutative and anticommutative arguments
p. 78-80
Reduction of families of quadratic forms to diagonal form
p. 81-82
The absence of a linear resolvent operator in problems in the theory of holomorphic functions
p. 83-84
On a certain chain of algebras on a Hilbert sphere
p. 85-86
On certain stationary vectors in infinite-dimensional representations of Chevalley groups
p. 87-88
On the expansion of hermitian forms and symmetric operators
p. 89-90
Positive-definite functions on Chevalley groups
p. 91-92
On the question of the solvability of bisingular and polysingular equations
p. 93-94
The torsion product of modules over Banach algebras
p. 95-96

Sommaire du Fascicule no. 2

Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients
p. 1-16
Stable rank of rings and dimensionality of topological spaces
p. 17-27
Irreducible representations of Lie $p$-algebras
p. 28-36
Hyperfinite factors of types II$_\infty$ and III
p. 37-44
Characteristic classes of principal $G$-stratifications with coefficients belonging to sheafs of germs of differential forms
p. 45-58
Defect subspaces and generalized resolvents of an Hermitian operator in the space $\Pi_\varkappa$
p. 59-71
Continuation of diffeomorphisms retaining volume
p. 72-76
Scattering problems for two spaces with an unbounded identification operator
p. 77-78
Multivalued analytic function defined by an integral on a hypersphere
p. 79-81
Nonsingular mappings of Stein manifolds
p. 82-83
A remark on Gel'fand's integral
p. 84-85
Complete selection of commutating operators for ladder representations of Lie algebras of the group $U(6,6)$
p. 86-88
Algebras on a Hilbert space which are generated by quadratic forms
p. 89-90
Cohomologies of automorphism groups of a Lebesgue space
p. 91-92

Sommaire du Fascicule no. 3

Distribution of ovals of the real plane of algebraic curves, of involutions of four-dimensional smooth manifolds, and the arithmetic of integer-valued quadratic forms
p. 1-9
Finiteness theorem for families of vector fields in the neighborhood of a Poincar\'e-type singularity
p. 10-15
Continuum of pairwise nonisomorphic diadic sequences
p. 16-18
Ergodic properties of an ideal gas with an infinite number of degrees of freedom
p. 19-21
Grothendieck topology and the theory of representations
p. 22-31
Almost invariant spectral properties of a contraction and multiplicative properties of analytic operator-functions
p. 32-41
Solvability of nonlinear operator equations
p. 42-44
Unitary representations of the group of diffeomorphisms of a circle
p. 45-53
Defective subspaces and generalized resolvents of an Hermitian operator in the space $\Pi_\varkappa$
p. 54-69
Double completeness of the system of eigenfunctions and associated functions of the regge problem
p. 70-74
Two nonisomorphic dynamical systems with the same simple continuous spectrum
p. 75-79
On entropy invariants of decreasing sequences of measurable partitions
p. 80-84
Distribution of the eigenvalues for differential operators with constant coefficients
p. 85-90
Markov endomorphisms of Lebesgue space
p. 91-95
Tensor and cross products of factors of type III
p. 96-97
Hypoelliptic convolution equations and Gevrey classes
p. 98-99
Estimates of curvature of Bergman metric, invariant under biholomorphic mappings
p. 100-101
Problems with oblique derivatives in regions with piecewise smooth boundaries
p. 102-103
The $\varepsilon$-entropy of Arzel\`{a} compacta
p. 104-105
The radiative transport equation and operator Wiener--Hopf equations
p. 106-108

Sommaire du Fascicule no. 4

Stationary subgroups of points of general position in the representation space of a semisimple Lie group
p. 1-8
On a class of linear positive operators
p. 9-17
Korteweg--de Vries equation: A completely integrable Hamiltonian system
p. 18-27
New proof of the theorem of A. Dvoretzky on intersections of convex bodies
p. 28-37
Local invertibility of nonlinear Fredholm mappings
p. 38-43
The problem of scattering of electromagnetic waves by a plasmoid
p. 44-55
Connection between the topologies of a locally bicompact group and its dual space
p. 56-63
Formal relations between analytic functions
p. 64-65
On spaces of local cohomologies of complex analytic manifolds
Self-adjoint boundary problems with discrete spectrum generated by the Sturm--Liouville equation with unbounded operator coefficient
p. 67-68
Projection method for solving degenerate discrete Wiener-Hopf equations
p. 69-70
Isomorphism of spaces of holomorphic functions of several complex variables
p. 71-72
Generalized coresolvents of $\Pi$-isometric operator with unequal defect numbers
p. 73-75
One class of functional spaces
p. 76-77
Completeness of the part of characteristic and adjoined vectors for certain nonlinear spectral problems
p. 78-79
A remark on the analyticity of correlation functions in the Ising model of gases
p. 80-81
Behavior of Hamiltonian systems close to integrable
p. 82-83
Cohomologies of some infinite-dimensional Lie algebras
p. 84-85
The completeness of the system of functions $e^{i\langle\lambda,x\rangle}$ and the real sets of uniqueness of entire functions of several variables
Theory of symmetrizable operators with discrete spectrum
p. 87-88