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1986, Volume 20, Issue 3  


Invariant Kähler–Einstein metrics on compact homogeneous spaces
D. V. Alekseevskii, A. M. Perelomov
1
Algebraic and combinatorial aspects of the general theory of hypergeometric functions
I. M. Gel'fand, A. V. Zelevinskii
17
Lagrangian imbeddings of surfaces and unfolded Whitney umbrella
A. B. Givental'
35
Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model
I. M. Krichever
42
Finite-dimensional perturbations of discrete operators and formulas for traces
V. A. Sadovnichii, V. A. Lyubishkin
55
Caustics in geometrical optics
Yu. V. Chekanov
66
Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie–Bäcklund group
M. B. Sheftel
70

Brief communications
Solvability of the inverse problems for second-order equations
A. Kh. Amirov
80
A construction of hyper-Kähler metrics
S. G. Gindikin
82
Narasimhan–Seshadri connection and Kähler structure of the space of moduli of holomorphic vector bundles over Riemann surfaces
P. G. Zograf, L. A. Takhtadzhyan
84
Riesz products and spectrum of Mackey actions
R. S. Ismagilov
86
Critical dimensions of the string theories and the dualizing sheaf on the moduli space of (super) curves
Yu. I. Manin
88
Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy
R. G. Novikov
90
Coincidence of the homological dimensions of the Frechet algebra of smooth functions on a manifold with the dimension of the manifold
O. S. Ogneva
92
Bifurcation of singular points of gradient dynamical systems
B. A. Khesin
94
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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