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1990, Volume 24, Issue 3  


Statistics of solutions of the integral equation $ax-by=\pm1$
E. I. Dinaburg, Ya. G. Sinai
1
Covariants of the symmetric group and its analogs in Weyl algebras
A. A. Kirillov, I. M. Pak
9
One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum
W. Kirsсh, S. A. Molchanov, L. A. Pastur
14
Estimates in operator classes for a difference of functions, from the pick class, of accretive operators
S. N. Naboko
26
Maslov index and Clifford algebras
Ya. Nekovar
36
Non-oscillation of elliptic integrals
G. S. Petrov
45
Elliptic affine Lie algebras
O. K. Sheinman
51

Brief communications
Topology of rearrangements of non-smoothness sets of minimum functions in variational problems
Yu. M. Baryshnikov
62
Wiener's theorem and the asymptotic estimates of the elements of inverse matrices
A. G. Baskakov
64
Differentiation bases and symmetric spaces
E. I. Berezhnoi
66
Integrable surfaces
A. I. Bobenko
68
Action of the Lie algebra $SO(5)$ on the cohomology of a hyperkähler manifold
M. S. Verbitsky
70
Integration of non-Abelian Toda-type chains
M. M. Gekhtman
72
Spectral properties of unitary weighted translation operators
K. L. Gromov
74
Exact asymptotics of the spectrum of the Maxwell operator in a solid resonator
T. E. Gureev
76
Algebras of functions on quantum matrix supergroups
E. E. Demidov
78
Bases of complemented subspaces of functional spaces
V. P. Kondakov
80
Irreducibility criterion for regular Gaussian representations of groups of finite upper triangular matrices
A. V. Kosyak
82
Jordan decomposition of measures on projections in $J$-spaces
M. S. Matveichuk
84
Симплектические формы на пространстве петель и риманова геометрия
O. I. Mokhov
86
Highest weight representations of the Lie algebra $a(\infty)$
Ch. D. Palev
88
Faithful transfer of difference boundary conditions
V. S. Ryaben'kii
90
Gel'fand–Naimark–Segal states and weil group for the quantum group $SU(n)$
Ya. S. Soibel'man
92
Realization of linear Lie groups by biholomorphic automorphisms of bounded domains
A. E. Tumanov, G. B. Shabat
94
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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