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Function Spaces, Entropy Numbers, Differential Operators.

Function Spaces, Entropy Numbers, Differential Operators.

・ISBN 978-0-521-56036-8 hard GB£ 121.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-66220-1

著者・編者Edmunds, D. E. / Triebel, H.,
シリーズCambridge Tracts in Mathematics
出版社(Cambridge University Press, UK)
出版年月1996
ページ数268 pp.
言語ENG
ニュース番号<M25-8809>

解説

The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and accessible to non-specialists. Both experts and newcomers alike will welcome this unique exposition.