Function Spaces, Entropy Numbers, Differential Operators

Both experts and newcomers alike will welcome this fresh approach to the distribution of the eigenvalues of differential operators.

D. E. Edmunds (Author), H. Triebel (Author)

9780521059756, Cambridge University Press

Paperback / softback, published 4 February 2008

268 pages, 26 b/w illus.
22.8 x 15.2 x 1.8 cm, 0.433 kg

Review of the hardback: '… not only an excellent research monograph but also an appropriate introduction to the field.' H. G. Feichtinger, International Mathematical News

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.

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.

Subject Areas: Calculus & mathematical analysis [PBK]