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1989, Volume 23, Issue 1  


Idempotent analysis as a tool of control theory and optimal synthesis. I
V. N. Kolokoltsov, V. P. Maslov
1
Generating functional of correlation functions for the nonlinear Schrödinger equation
V. E. Korepin
15
Algebras of virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces
I. M. Krichever, S. P. Novikov
24
Prymians of real curves and their applications to the effectivization of Schrödinger operators
S. M. Natanzon
41

Brief communications
Verdier elliptic solitons and the Weierstrass theory of reduction
E. D. Belokolos, V. Z. Ènol'skii
57
Ergodic properties of transformations of an interval
A. M. Blokh, M. Yu. Lyubich
59
Local indexes of iterates of a holomorphic map
S. A. Bogatyi
61
Eigenvalues of the equation $Au=\lambda Bu$ on a compact manifold without boundary
K. Kh. Boimatov, A. G. Kostyuchenko
63
Lagrangian projections of invariant tori of Hamiltonian systems with two degrees of freedom
M. L. Byalyi, L. V. Polterovich
65
Mechanism of instability of an equilibrium of natural systems
G. M. Vinner
66
Poisson brackets associated with the classical Yang–Baxter equation
D. I. Gurevich
68
Singularities and normal forms of odd-dimensional Pfaff equations
M. Ya. Zhitomirskii
70
Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter
S. B. Kuksin
72
Iteration of a polynomial, basis, and the operator of multiplication by $z$
G. M. Levin
74
Special vectors in Verma modules over affine algebras
F. G. Malikov
76
Certain properties of the roots of a weakly hyperbolic operator pencil
E. D. Nursultanov
78
Eigenvalues of a certain quadratic pencil of operators
V. N. Pyvovarchyk
80
Method of excision of singularity for bisingular integral operators with continuous coefficients
V. S. Pilidi
82
Integrable mappings of the standard type
Yu. B. Suris
84
Spectrum of infinite-dimensional Banach spaces
E. V. Tokarev
86
Algebras of bounded functions with smooth coanalytic part
V. A. Tolokonnikov
88
Multiplicity of the spectrum of representations connected with integrable $G$-invariant Hamiltonian systems
M. L. Chumak
90
Linear differential equations and real flag manifolds
B. Z. Shapiro
92
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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