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Function Spaces, Entropy Numbers, Differential Operators.
・ISBN 978-0-521-05975-6 paper GB£ 56.00
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| 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 | 2008 |
| ページ数 | 268 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8999＞ |
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.