TY - BOOK AU - Edmunds,D.E. AU - Triebel,Hans TI - Function spaces, entropy numbers, differential operators T2 - Cambridge tracts in mathematics SN - 9780511662201 (ebook) AV - QA323 .E26 1996 U1 - 515/.73 20 PY - 1996/// CY - Cambridge PB - Cambridge University Press KW - Function spaces KW - Entropy (Information theory) KW - Differential operators N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 1. The Abstract Background -- 2. Function Spaces -- 3. Entropy and Approximation Numbers of Embeddings -- 4. Weighted Function Spaces and Entropy Numbers -- 5. Elliptic Operators N2 - 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 UR - https://doi.org/10.1017/CBO9780511662201 ER -