Theory and applications of differentiable functions of several variables, 16 : collection of papers

Bibliographic Information

Theory and applications of differentiable functions of several variables, 16 : collection of papers

edited by S.M. Nikolʹskiĭ

(Proceedings of the Steklov Institute of Mathematics, v. 204, 1994, issue 3 of 4)

American Mathematical Society, c1994

Other Title

Исследования по теории дифференцируемых функций моногих переменных и ее приложениям ч. 16

Issledovanii︠a︡ po teorii different︠s︡iruemykh funkt︠s︡iǐ mnogikh peremennykh i ee prilozhenii︠a︡m. ch. 16

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Note

Translation of: Исследования по теории дифференцируемых функций моногих переменных и ее приложениям ч. 16

No. in original Russian series statement: tom 204 (1993)

Includes bibliographies

Description and Table of Contents

Description

This work explores various topical trends in the theory of differentiable functions of several real variables and its applications. Among the subjects covered are: imbedding of various spaces of differentiable functions defined on sets in Euclidean space, on a sphere, and in a polydisc; approximation of functions; estimates for the norms of various integral operators in weighted space; conditions for stabilization of a function to a polynomial; sufficient conditions for multipliers; construction of unconditional bases in anisotropic spaces; existence of entire solutions for quasilinear equations; and establishment of an asymptotic formula for the kernels of powers of the resolvent of elliptic operators.

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