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1991, Volume 25, Issue 1  


Crofton's function and inversion formulas in real integral geometry
I. M. Gel'fand, M. I. Graev
1
Spectral asymptotics of polynomial pencils of differential operators in bounded domains
K. Kh. Boimatov, A. G. Kostyuchenko
7
The step-decay problem for the Korteweg-de Vries-Burgers equation
P. I. Naumkin, I. A. Shishmarev
21
Lie algebras of differential operators, their central extensions, and $W$-algebras
A. O. Radul
33
Topological entropy and periodic points of two-dimensional hyperbolic billiards
N. I. Chernov
50

Brief communications
The Rosenthal inequality in symmetric spaces
M. Sh. Braverman
58
Spherical functions on the quantum group $SU(1, 1)$ and the $q$-analogue of the Mehler–Fock formula
L. L. Vaksman, L. I. Korogodskii
60
Free $n$-category generated by a cube, oriented matroids, and higher Bruhat orders
V. A. Voevodskii, M. M. Kapranov
62
On the index and the homotopic classification of Noetherian operators with a finite group of shifts
S. R. Gordeev
66
An inverse problem for the wave equation in a ball
V. M. Dikasov
68
$(\pm)$-regular factorization and the best minorant
Đo Cong Khanh
72
Classification of germs of regular distributions with minimal growth vector
M. Ya. Zhitomirskii
74
Abstract characterization of $EW^*$-algebras
B. S. Zakirov, V. I. Chilin
76
Hall-Littlewood functions and orthogonal polynomials
S. V. Kerov
78
Moduli of vector bundles and numbers of classes
A. A. Klyachko
81
Deformation of poisson structures and contact Lie (super)algebras of string theories
O. D. Ovsienko
84
Angular operators of nondegenerate subspaces
È. L. Pekarev
86
Meromorphic functions connected with polylogarithms
M. Z. Rovinskii
88
An infinitesimal object of the hypercomplex system, generated by double cosets, and nonlinear differential equations
G. B. Podkolzin
91
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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