Funktsional. Anal. i Prilozhen., 1987, Volume 21, Issue 1

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1987, Volume 21, Issue 1

	Milnor numbers of nonisolated saito singularities A. G. Aleksandrov	1
	Combinatorics and topology of the disposition of affine hyperplanes in real space A. N. Varchenko	11
	General hypergeometric functions on complex Grassmannians V. A. Vassiliev, I. M. Gel'fand, A. V. Zelevinskii	23
	Structure of Gauss maps F. L. Zak	39
	Extremum functions of finite families of convex homogeneous functions V. I. Matov	51

Brief communications
	Some asymptotic formulas for elliptic pseudodifferential operators M. S. Agranovich	63
	Completeness of the system of root vectors of operators in a space with indefinite metric T. Ya. Azizov	66
	The value of the Selberg zeta function at integral points A. A. Beilinson, Yu. I. Manin	68
	Expression of parameters of solutions of algebraically integrable nonlinear equations in terms of theta constants E. D. Belokolos, V. Z. Ènol'skii	70
	Relative disposition of the Schubert supervarieties and resolution of their singularities A. A. Voronov	72
	Superamenability and the problem of occurrence of free semigroups R. I. Grigorchuk	74
	Singularities admitting perturbations with a small number of critical values S. M. Gusein-Zade	76
	Lagrangian rings. Multiscale asymptotics of a spectrum near resonance M. V. Karasev	78
	Existence of a leading eigenvalue for a linearized problem in reactor dynamics R. S. Makin	80
	Basis property of subsystems of eigen- and associated vectors of a self-adjoint operator pencil A. S. Markus, V. I. Matsaev	82
	$\mathbb{Z}^2$-graded modules with one-dimensional components over the Lie algebra $A_1^{(1)}$ S. A. Spirin	84
	Pseudocharacters on free products of semigroups V. A. Faiziev	86
	Asymptotics of the Hausdorff dimension of the basic set which is generated in the vanishing of an equilibrium state of the saddle–saddle type M. A. Shereshevskii	88
	Versal deformations in the space of planar curves of fixed degree E. I. Shustin	90
	Orbits of maximum dimension for borel subgroups of semisimple linear Lie groups A. G. Élashvili	92