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1985, Volume 19, Issue 4  


The Sturm theorems and symplectic geometry
V. I. Arnol'd
1
Filtering bases, cohomology of infinite-dimensional Lie algebras, and Laplace operators
F. V. Weinstein
11
Local classification of volume forms in the presence of a hypersurface
A. N. Varchenko
23
Analogs of multisoliton potentials for the two-dimensional Schrödinger operator
P. G. Grinevich, R. G. Novikov
32
Nonstandard characteristics and Maslov's operatorial method in linear problems concerning unsteady water waves
S. Yu. Dobrokhotov, P. N. Zhevandrov
43
Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials
V. N. Karpushkin
55
The Nielsen zeta function
V. B. Pilyugina, A. L. Fel'shtyn
61
Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector field on the plane
D. B. Fuchs
68

Brief communications
Metric properties of the space $\varphi(X,Y)$
E. I. Berezhnoi
74
Spectral asymptotics of Gasymov–Kostyuchenko problems with “nonsmooth” coefficients
K. Kh. Boimatov, S. A. Iskhokov
76
Symmetric spaces and sequences of independent random variables
M. Sh. Braverman
78
Determinant of the characteristic function of a non-self-adjoint operator
V. F. Veselov, S. N. Naboko
80
Hamiltonian operators and Hochschild homologies
Yu. L. Daletskii, B. L. Tsygan
82
Index of convolution operators with slowly varying coefficients on Abelian groups
V. M. Deundyak, B. J. Steinberg
84
Structural stability in some families of entire functions
A. È. Eremenko, M. Yu. Lyubich
86
Extremal-type equations and their resolvents over reductive Lie algebras
D. P. Zhelobenko
88
A theorem on coincidence of spectra for tangentially elliptic operators on foliated manifolds
Yu. A. Kordyukov
90
Invariant measures generated by random fields with independent values
M. A. Lifshits
92
On the system $\{\exp(-\alpha\lambda_nt)\sin\lambda_nt\}_{n=1}^\infty$
Yu. I. Lyubarskii
94
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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