Function Spaces, Entropy Numbers, Differential Operators

ISBN-13: 9780521560368 / Angielski / Twarda / 1996 / 268 str.

D. E. Edmunds; H. Triebal; H. Triebel

Opis

The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical problems in this area, and this book presents a fresh approach, largely based on 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 nonspecialists.

Recenzje

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

Spis treści

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.