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2006, Volume 40, Issue 2  


Structure of Modules over the Stereotype Algebra $\mathcal{L}(X)$ of Operators
S. S. Akbarov
1
Homology of the Lie Algebra of Vector Fields on the Line with Coefficients in Symmetric Powers of its Adjoint Representation
V. V. Dotsenko
13
A Criterion for the Existence of Decaying Solutions in the Problem on a Resonator with a Cylindrical Waveguide
S. A. Nazarov
20
Diffeomorphisms Taking Lines to Circles, and Quaternionic Hopf Fibrations
V. A. Timorin
33
Noncommutative Riesz Theorem and Weak Burnside Type Theorem on Twisted Conjugacy
E. V. Troitskii
44
An Analog of Determinant Related to Parshin–Kato Theory and Integer Polytopes
A. G. Khovanskii
55

Brief communications
Spectra of Hamiltonians of Molecule Pseudorelativistic Electrons in Spaces of Functions with Permutational and Point Symmetry
G. M. Zhislin
65
Construction of Cocycles for Bicrossproduct of Lie Groups
A. A. Kalyuzhnyi, G. B. Podkolzin, Yu. A. Chapovsky
70
A One-Dimensional Schrödinger Operator with Point Interactions on Sobolev Spaces
L. P. Nizhnik
74
Functional Calculus of Hermitian Elements and Bernstein Inequalities
S. Norvidas
79
Sarason's Interpolation Theorem for Analytic Crossed Products
T. Ohwada
82
The Yangian Double of the Lie Superalgebra $A(m,n)$
V. A. Stukopin
86
A Pointwise Ergodic Theorem for Contractions in $\mathbb{L}_p(\mathcal{H})$-Spaces
R. Jajte
90
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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