Function Spaces, Entropy Numbers, Differential Operators

by D. E. Edmunds, H. Triebel

Overview

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.

Product Details

ISBN-13:	9780521059756
Publisher:	Cambridge University Press
Publication date:	02/04/2008
Series:	Cambridge Tracts in Mathematics , #120
Edition description:	New Edition
Pages:	268
Product dimensions:	5.98(w) x 8.98(h) x 0.71(d)

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.

Editorial Reviews

"The book is an excellent introduction....The basic ideas are well outlined and supported by complete proofs." Georgi E. Karadzhov, Mathematical Reviews

From the Publisher