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

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1970, Volume 4, Issue 4

	Leading term in the asymptotic spectral formula for “nonsmooth” elliptic problems M. Sh. Birman, M. Z. Solomyak	1
	Classes of approximately finite factors V. Ya. Golodets	14
	Invariant measure with maximal entropy for a U-diffeomorphism B. M. Gurevich	21
	Operational calculus of linear unbounded operators and semigroups G. I. Laptev	31
	Coercive estimates and regularity of the solution of degenerate elliptic pseudodifferential equations V. G. Maz'ya, B. P. Paneah	41
	Index of an elliptic system on a manifold B. V. Fedosov	57

Brief communications
	Quaternion Riemann spaces with transitive reductive or solvable groups of motions D. V. Alekseevskii	68
	Upper bounds for cohomology of infinite-dimensional Lie algebras I. M. Gel'fand, D. B. Fuchs	70
	Spectrum of some nonclassical self-adjoint extensions of the Laplace operator M. M. Gekhtman	72
	Some applications of the theorem on factorization of a unitary matrix M. G. Krein, F. É. Melik-Adamyan	73
	Ideally convex sets E. A. Lifshits	76
	Commutativity of certain centralizers in the rings $R_{n,k}$ L. G. Makar-Limanov	78
	Gibbs state in quantum statistical physics I. D. Novikov	79
	Factorization of scales of Banach spaces Yu. I. Petunin	81
	Direct proof of the formula for the index of an elliptic system in euclidean space B. V. Fedosov	83
	Invariant subspaces of a dissipative operator and divisors of its characteristic function Ya. S. Shvartsman	85