Birman, M. Sh.

Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory / Series 2, volume 114 by M. �S. Birman and M. Z. Solomjak ; [translated by F. A. Cezus ; edited by Lev J. Leifman]. - Providence, R.I. : American Mathematical Society, 1980 - 1 online resource (viii, 132 p.) - American Mathematical Society Translations: Series 2, .

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

9781470433253 (online)


Sobolev spacesEmbedding theoremsSpectral theory (Mathematics)Differential equations, Partial