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Function Spaces, Entropy Numbers, Differential Operators

Part of Cambridge Tracts in Mathematics

  • Date Published: April 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521059756


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About the Authors
  • 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
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    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

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    Product details

    • Date Published: April 2008
    • format: Paperback
    • isbn: 9780521059756
    • length: 268 pages
    • dimensions: 228 x 152 x 18 mm
    • weight: 0.433kg
    • contains: 26 b/w illus.
    • availability: 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

  • Authors

    D. E. Edmunds, University of Sussex

    H. Triebel, Friedrich-Schiller-Universität, Jena, Germany

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