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.Read more
- These are THE authors and this is their magnum opus
- Quite a lot of this stuff has never appeared in a book before
Reviews & endorsements
Review of the hardback: '… a fresh approach.' L'Enseignement MathématiqueSee more reviews
Review of the hardback: 'The authors' mastery of the subject is obvious, and they make every effort to guide the reader through the difficult analysis … The book is recommended to anyone with an interest in function spaces and differential equations.' W. D. Evans, Bulletin of the London Mathematical Society
Review of the hardback: '… not only an excellent research monograph but also an appropriate introduction to the field.' H. G. Feichtinger, International Mathematical News
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- Date Published: April 2008
- format: Paperback
- isbn: 9780521059756
- length: 268 pages
- dimensions: 228 x 152 x 18 mm
- weight: 0.433kg
- contains: 26 b/w illus.
- availability: Available
Table of Contents
1. The abstract background
2. Function spaces
3. Entropy and approximation numbers of embeddings
4. Weighted function spaces and entropy numbers
5. Elliptic operators
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