Theory and applications of differentiable functions of several variables, 14 : collection of papers
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Bibliographic Information
Theory and applications of differentiable functions of several variables, 14 : collection of papers
（Proceedings of the Steklov Institute of Mathematics, v. 194,
American Mathematical Society, c1994
- Other Title
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Исследования по теории дифференцируемых функций многих переменных и ее приложениям. ч. 14
Issledovanii︠a︡ po teorii different︠s︡iruemykh funkt︠s︡ii mnogikh peremennykh i ee prilozhenii︠a︡m. ch. 14
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Translation of: Исследования по теории дифференцируемых функций многих переменных и ее приложениям. ч. 14
No. in original Russian series statement: tom 194 (1992)
Includes bibliographies
Description and Table of Contents
Description
This collection is the 14th in an ongoing series on differentiable functions of several variables, presenting recent contributions to a line of research begun by Sobolev in 1950. The papers study various spaces of differentiable functions of several real variables in Euclidean space, their imbeddings, equivalent normings, weighted estimates of derivatives, and traces on sets. Several questions of approximation in function spaces on the line, on a hyperboloid, and on Lobachevsky space are studied. Investigations of bilinear approximations are applied to estimates of the singular numbers of integral operators and widths. The authors also examine the asymptotics of the spectrum of elliptic systems, as well as the Dirichlet variational problem for a degenerate elliptic operator. Finally, a block method of solving Laplace's equation for nonanalytic boundary conditions is developed.
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