Function spaces, entropy numbers, differential operators
著者
書誌事項
Function spaces, entropy numbers, differential operators
（Cambridge tracts in mathematics, 120）
Cambridge Unvieristy Press, 2008
- : pbk
注記
Bibliography: p. 243-248
Includes index
"First published 1996. This digitally printed version 2008"--t.p. verso
内容説明・目次
内容説明
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.
目次
- 1. The abstract background
- 2. Function spaces
- 3. Entropy and approximation numbers of embeddings
- 4. Weighted function spaces and entropy numbers
- 5. Elliptic operators
- Bibliography.
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