Function Spaces, Entropy Numbers, Differential Operators
Function Spaces, Entropy Numbers, Differential Operators
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.
- 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 Mathématique
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
Product details
April 2008Paperback
9780521059756
268 pages
228 × 152 × 18 mm
0.433kg
26 b/w illus.
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
- Bibliography.
