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2003, Volume 37, Issue 1  


Fermat–Euler Dynamical Systems and the Statistics of Arithmetics of Geometric Progressions
V. I. Arnol'd
1
Factorization of Operator Functions in a Hilbert Space
A. M. Gomilko
19
Witten Solution for the Gelfand–Dikii Hierarchy
S. M. Natanzon
25
Tri-Hamiltonian Structures of Egorov Systems of Hydrodynamic Type
M. V. Pavlov, S. P. Tsarev
38
On Solvability of Functional Equations Relating to Dynamical Systems with Two Generators
B. P. Paneah
55

Brief communications
Homological Dimensions of the Algebra Formed by Entire Functions of Elements of a Nilpotent Lie Algebra
A. A. Dosiev
73
Irreducibility Criterion for Quasiregular Representations of the Group of Finite Upper Triangular Matrices
A. V. Kosyak
78
Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum
S. N. Lakaev, T. H. Rasulov
81
A Schrödinger Operator with $\delta'$-Interaction
L. P. Nizhnik
85
On Nontrivial Solutions of a Nonlinear Schrödinger Equation with Magnetic Field
A. A. Pankov
88
Polynomial Hurwitz Numbers and Intersections on $\overline{\mathcal{M}}_{0,k}$
S. V. Shadrin
92
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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