Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory / by M. �S. Birman and M. Z. Solomjak ; [translated by F. A. Cezus ; edited by Lev J. Leifman]. Series 2, volume 114

By: Birman, M. ShContributor(s): Solomiak, M. ZMaterial type: Computer fileComputer fileSeries: American Mathematical Society Translations: Series 2Publication details: Providence, R.I. : American Mathematical Society, 1980Description: 1 online resource (viii, 132 p.)ISBN: 9781470433253 (online)Subject(s): Sobolev spacesEmbedding theoremsSpectral theory (Mathematics)Differential equations, PartialOnline resources: Click here to access online
Contents:
Introduction. Survey of basic results;Approximation theorems. Entropy;Singular numbers of integral operators. Multipliers;Asymptotic behavior of the spectrum of polyharmonic operators in weighted spaces;Asymptotics of the spectrum of elliptic variational problems with nonsmooth coefficients
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Translation of Kolichestvenny�i analiz v teoremakh vlozheni�i�a Soboleva i prilozheni�i�a k spektral�no�i teorii.

Bibliography: p. 125-132.

Introduction. Survey of basic results;Approximation theorems. Entropy;Singular numbers of integral operators. Multipliers;Asymptotic behavior of the spectrum of polyharmonic operators in weighted spaces;Asymptotics of the spectrum of elliptic variational problems with nonsmooth coefficients

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