Funktsional. Anal. i Prilozhen., 1970, Volume 4, Issue 2

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1970, Volume 4, Issue 2

	Topological invariants of algebraic functions. II V. I. Arnol'd	1
	M. V. Keldysh's multiple completeness and the uniqueness of the solution of the corresponding Cauchy problem G. A. Voropaeva, V. P. Maslov	10
	On A theorem of Hormander A. M. Gabrièlov	18
	Cohomologies of Lie algebra of tangential vector fields. II I. M. Gel'fand, D. B. Fuchs	23
	Representations of the principal series of a complex semisimple Lie group E. A. Gutkin	32
	Fundamental-series representations of a semisimple Lie group M. Duflo	38
	On the cohomologies of infinite-dimensional Lie algebras of vector fields M. V. Losik	43
	The singular spectrum of the weakly perturbed multiplication operator B. S. Pavlov, S. V. Petras	54
	Cohomologies of the braid group $\operatorname{mod}2$ D. B. Fuchs	62
	The representability of algebroidal functions by superpositions of analytic functions and algebroidal functions of one variable A. G. Khovanskii	74

Brief communications
	Structure of the space of germs of the vector fields of a Poincaré domain. Singularities of finite codimension N. N. Brushlinskaya	80
	Correctness classes of the Cauchy problem for differential equations with variable coefficients S. G. Gindikin	83
	On the irreducible representations of a complex semisimple Lie group D. P. Zhelobenko	85
	Isomorphisms of Cartesian products of linear topological spaces V. P. Zaharyuta	87
	On A characteristic of congruence subgroups of the group $G=SL(2,\mathbb{Z})$ D. A. Kazhdan	89
	One-dimensional cohomologies of a Lie algebra of contact vector fields B. I. Rozenfel'd	91