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1980, Volume 14, Issue 1  


Invariant convex cones and orderings in Lie groups
È. B. Vinberg
1
Spectral analysis of a class of second-order non-self-adjoint differential operators
M. G. Gasymov
14
Generalization of a theorem of brusotti for curves on a surface of second order
D. A. Gudkov
20
Evolutionary equations with nontrivial Lie–Bäcklund group
N. Kh. Ibragimov, A. B. Shabat
25
New inequalities in the topology of real planar algebraic curves
V. A. Rokhlin
37

Brief communications
Residues and adeles
A. A. Beilinson
44
Hodge properties of Gauss–Manin connectivities
A. N. Varchenko
46
Finite-zone potentials and integrable systems on a sphere with quadratic potential
A. P. Veselov
48
Weil's representation of the Lie algebra of type $G_2$, and representations of $\operatorname{SL}_3$ connected with it
S. I. Gel'fand
51
Burnside problem on periodic groups
R. I. Grigorchuk
53
Variational principle for equations integrable by the inverse problem method
V. E. Zakharov, A. V. Mikhailov
55
Example of an algebraic curve in $\mathbb{C}^2$ such that its complement has fundamental group with elements of finite order
Yu. V. Zyuzin
57
Properties of bases of some koethe spaces and their subspaces
V. P. Kondakov
58
Unitary equivalence of sets of self-adjoint operators
S. A. Kruglyak, Yu. S. Samoilenko
60
A sufficient set of $n$-dimensional representations of a Banach algebra and the $n$-symbol
N. Ya. Krupnik
63
Bloch solutions of periodic partial differential equations
P. A. Kuchment
65
Construction of an intertwining operator
V. I. Lomonosov
67
Unimodal germs of functions on a manifold with a boundary
V. I. Matov
69
Singular integral operators with non-karleman shift on an open contour
A. G. Myasnikov, L. I. Sazonov
71
Topological invariants for germs of analytic and area-preserving mappings, and their application to analytic differential equations in $\mathbb{CP}^2$
V. A. Naishul'
73
Arithmetic and cohomology invariants of semisimple group schemes and compactifications of locally symmetric spaces
E. A. Nisnevich
75
Completeness of elementary solutions in the problem of steady-state vibrations of an elastic rectangular plate
M. B. Orazov
77
The Dixmier map
A. N. Panov
79
Self-adjointness of elliptic operators with a finite or infinite number of variables
M. A. Perel'muter, Yu. A. Semenov
81
Conditionally weakly compact and $(RN)^D$-operators
O. I. Reinov
83
Self-adjointness of elliptic operators with infinitely many variables
N. N. Frolov
85
Topological $O^*$-algebras
V. I. Chilin
87
Complex structures on a manifold with boundary
Ya. M. Eliashberg
89
Reconstruction of the weight function on the group $SO(3)$ from incomplete diffraction data
V. P. Yashnikov
91
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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