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1983, Volume 17, Issue 4  


Method of the inverse scattering problem with spectral parameter on an algebraic curve
V. E. Zakharov, A. V. Mikhailov
1
Deformations of Hopf manifolds and the Poincaré–Dulac theorem
V. P. Palamodov
7
What is a classical $r$-matrix?
M. A. Semenov-Tian-Shansky
17
Some algebraic structures connected with the Yang–Baxter equation. Representations of quantum algebras
E. K. Sklyanin
34
Local characterization of holomorphic automorphisms of Siegel domains
A. E. Tumanov, G. M. Henkin
49
Stable cohomologies of a Lie algebra of formal vector fields with tensor coefficients
D. B. Fuchs
62
Singularities of families of evolvents in the neighborhood of an inflection point of the curve, and the group $H_3$ generated by reflections
O. P. Shcherbak
70

Brief communications
A class of systems of volterra integral equations of first kind
A. Asanov
73
Solution of the cauchy problem with the help of weighted approximations of exponents by polynomials
A. V. Babin
75
Semicontinuity of the complex singularity index
A. N. Varchenko
77
Binomial asymptotics of the spectrum of a boundary-value problem
D. G. Vasil'ev
79
Contiguity of $A_k$-singularities at points of the stratum $\mu=\operatorname{const}$ of a singularity
S. M. Gusein-Zade, N. N. Nekhoroshev
82
A polynomial vector field with singular points only of Poincaré type
Yu. S. Ilyashenko, A. S. Pyartli
84
Linear relations generated by canonical differential equations
I. S. Kats
86
Structure of the resonances of the generalized friedrichs model
S. N. Lakaev
88
A geometric approach to the weighted estimates of hilbert transforms
S. R. Treil
90
Generalized Poincaré metric on the operator ball
V. A. Khatskevich
92
$H(2n,m)$-invariant differential operators and irreducible $\operatorname{osp}(2,2n)$-representations
G. S. Shmelev
94
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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