Trudy Mat. Inst. Steklov., 1979, Volume 150

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1979, Volume 150

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General information

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Contents

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Investigations in the theory of differentiable functions of many variables and its applications. Part 7

Work collection

	Projection representation of functions by a difference O. V. Besov, V. P. Il'in		3
	Estimates of the error of cubature formulas with respect to smoothness of function O. V. Besov		11
	Partitions of unity V. I. Burenkov		24
	Extension of functions from $L_p$ V. I. Burenkov, M. L. Gol'dman		31
	Extension of functions from anisotropic spaces with preservation of class V. I. Burenkov, B. L. Fain		52
	On the smoothness of solutions of the Dirichlet problem, and the composite mesh method on polyhedra E. A. Volkov		67
	Description of traces for certain function spaces M. L. Gol'dman		99
	Hypoellipticity criteria in terms of power and strength of operators G. G. Kazaryan, V. N. Markaryan		128
	Comparison of the power of polynomials and their hypoellipticity G. G. Kazaryan		143
	Description of traces for anisotropic spaces of Triebel–Lizorkin type G. A. Kalyabin		160
	Behavior at infinity of functions from Liouville classes. Riesz potentials of arbitrary order P. I. Lizorkin		174
	The exterior Dirichlet problem for a degenerate elliptic operator N. V. Miroshin		198
	A variational problem for an equation of elliptic type with degeneration on the boundary S. M. Nikol'skii		212
	Inequalities between different seminorms of differentiable functions of several variables Yu. S. Nikol'skii		239
	Imbedding theorems for spaces with a weight and their application to the study of the spectrum of a Schrödinger operator M. Otelbaev		265
	A mixed $q$-integral $p$-variation, and theorems of equivalence and imbedding of classes of functions with a mixed modulus of smoothness A. P. Terekhin		306

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