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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

1985, Volume 19, Issue 3


Linear systems of hyperplane sections on varieties of low codimension
F. L. Zak
1
Monodromy and vanishing cycles of boundary singularities
G. G. Ilyuta
11
Classical orthogonal polynomials of A discrete variable and representations of the three-dimensional rotation group
A. F. Nikiforov, S. K. Suslov, V. B. Uvarov
22
Functional realizations of basis representations of factoring Lie groups and algebras
I. V. Cherednik
36

Brief communications
Implementation of the formulas for the finite-zone integration of the sine-Gordon equation for a certain curve of genus $3$
M. V. Babich
53
An algebraic description of some categories of $D_X$-modules
S. I. Gel'fand, S. M. Khoroshkin
56
Some solutions of the self-dual Einstein equation
S. G. Gindikin
58
Invariant subspaces of $J$-dissipative operators
A. M. Gomilko
61
Deformation and degeneration of complex hyperbolic pseudometrics and pseudovolumes
M. G. Zaidenberg
63
Representations of the Lie algebra $sl(2)$ in $l$-adic cohomologies
Yu. G. Zarhin
65
Action of the Liouville equation is a generating function for the accessory parameters and the potential of the Weil–Petersson metric on the Teichmüller space
P. G. Zograf, L. A. Takhtadzhyan
67
Biholomorphic classification of the tubular tori in $\mathbb{C}^2$
S. M. Ivashkovich
69
Invertibility of almost-periodic operators
V. G. Kurbatov
71
Spaces $L_p$ with a mixed norm on locally compact groups
A. G. Myasnikov, S. I. Chernykh
73
Automorphisms of the Lie superalgebras of string theory
V. V. Serganova
75
Integration with respect to weight on $JBW$-algebras
N. V. Trunov
77
An inequality for analytic functions
E. A. Shvartsman
79
Dedekind $\eta$-function and indefinite quadratic forms
O. K. Sheinman
80
Additive characteristic classes in $K$-theory
V. V. Schechtman
82
A theorem on the $\varepsilon$-trajectories for the lorenz mapping
S. V. Shlyachkov
84
Structure of the spectrum of the periodic Schrödinger operator on the Euclidean torus
O. A. Veliev, S. A. Molchanov
86
Perturbations of a one-dimensional Schrödinger operator with limit-periodic potential
L. A. Malozemov
88
Reconstruction of the function of the rotation number for the Schrödinger operator with almost-periodic potential from a countable set of polynomial invariance laws
M. V. Novitskii
90
Stability of the solutions of elliptic systems
N. N. Tarkhanov
92
Real $W^*$-factors of type III$_\lambda$, $0\le\lambda\lt 1$
Sh. M. Usmanov
94


© Steklov Math. Inst. of RAS, 2026