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2002, Volume 36, Issue 3  


The Longest Curves of Given Degree and the Quasicrystallic Harnack Theorem in Pseudoperiodic Topology
V. I. Arnol'd
1
Compatible Lie Brackets and Integrable Equations of the Principal Chiral Model Type
I. Z. Golubchik, V. V. Sokolov
9
On Sums of Projections
S. A. Kruglyak, V. I. Rabanovich, Yu. S. Samoilenko
20
Compatible Metrics of Constant Riemannian Curvature: Local Geometry, Nonlinear Equations, and Integrability
O. I. Mokhov
36
Comparison of Thermodynamic Characteristics of a Potential Well under Quantum and Classical Approaches
L. A. Sakhnovich
48

Brief communications
On the Finiteness of the Discrete Spectrum of a Four-Particle Lattice Schrödinger Operator
S. A. Albeverio, S. N. Lakaev, Zh. I. Abdullaev
56
On the Exact $\mathcal{K}$-Monotonicity of Banach Couples
S. V. Astashkin
60
Singularities of Families of Chords
P. J. Giblin, V. M. Zakalyukin
63
Hausdorff Dimension of the Set of Generic Points for Gibbs Measures
B. M. Gurevich, A. A. Tempel'man
68
On a Model Problem for the Orr–Sommerfeld Equation with Linear Profile
A. V. D'yachenko, A. A. Shkalikov
71
On the Essential Spectrum of a Class of Matrix Differential Operators
A. Yu. Konstantinov
76
Classification of Finite Factor Representations of the $(2m+1)$-Dimensional Heisenberg Group over a Countable Field of Finite Characteristic
K. P. Kokhas'
79
Anti-Vandermonde Systems and Plane Trees
Yu. Yu. Kochetkov
83
Multipliers on the Set of Rademacher Series in Symmetric Spaces
G. P. Curbera, V. A. Rodin
87
New $M$-Curve of Degree 8
S. Yu. Orevkov
90
Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit
A. B. Pushnitskii, M. V. Ruzhansky
93
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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