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1981, Volume 15, Issue 4  


Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail
V. I. Arnol'd
1
Asymptotic theory of characters of the symmetric group
A. M. Vershik, S. V. Kerov
15
Decay inside and domain of generalized solutions of boundary-value problems for second-order elliptic equations with oscillatory boundary conditions and right-hand sides
G. A. Iosif'yan
28
Variational methods and periodic solutions of Kirchhoff-type equations. II
S. P. Novikov
37
Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
G. I. Olshanskii
53

Brief communications
Atiyah–Bott–Lefschetz theorem for manifolds with boundary
A. V. Brenner
67
A four-point problem for a differential equation in a Banach space
Yu. N. Valitskii
69
Structure of some group $C^*$-algebras
V. V. Varfolomeev
71
Tests for equivalence of hyperbolic manifolds
I. M. Dektyarev
73
Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field
V. G. Drinfeld
75
Cohomologies of algebraic manifolds and representations of semisimple Lie algebras
Yu. G. Zarhin
77
Characterization of the hyper-Stonian cover of a compact Hausdorff space
V. K. Zakharov
79
Estimation of the remainder in the Weyl formula
V. F. Lazutkin, D. Ya. Terman
81
Entropy of analytic endomorphisms of the riemannian sphere
M. Yu. Lyubich
83
Properties of a class of non-self-adjoint operators
Ya. V. Mikityuk
85
Asymptotic behavior of the diameters of certain classes of analytic functions
O. G. Parfenov
87
Homeomorphism of Hilbert spaces induced by a differential operator
N. N. Frolov
89
Friedrichs and Krein extensions of positive operators and holomorphic contraction semigroups
È. R. Tsekanovskii
91
A remark on the Schrödinger operator with a highly singular potential
I. D. Chueshov
93
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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