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2008, Volume 42, Issue 1  


Integration of Some Differential-Difference Nonlinear Equations Using the Spectral Theory of Normal Block Jacobi Matrices
Yu. M. Berezanskii, A. A. Mokhon'ko
1
Integral Models of Representations of Current Groups
A. M. Vershik, M. I. Graev
22
Invariant Ordering on the Simply Connected Covering of the Shilov Boundary of a Symmetric Domain
A. L. Konstantinov
33
The Classification of Nonsingular Multidimensional Dubrovin–Novikov Brackets
O. I. Mokhov
39
The PRV-Formula for Tensor Product Decompositions and Its Applications
D. I. Panyushev, O. S. Yakimova
53
Bosonic Formulas for Affine Branching Functions
E. B. Feigin
63

Brief communications
Linear Extensions Associated with Abstract Functional Operators
A. B. Antonevich, I. Yu. Trubnikov
78
Projective Characters of the Infinite Generalized Symmetric Group
A. V. Dudko, N. I. Nessonov
82
Racah Operators for the Group of Motions
R. S. Ismagilov
85
On Characteristic Classes of $Q$-manifolds
S. L. Lyakhovich, E. A. Mosman, A. A. Sharapov
88
Topological Recursion Relation for $\psi_1\psi_2$ in $\overline{\mathcal{M}}_{2,2}$
I. I. Shneiberg
91
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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