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  3. Function Spaces, Entropy Numbers, Differential Operators
  • Cited by 243
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    • Publisher:
      Cambridge University Press
      Publication date:
      July 2010
      August 1996
      ISBN:
      9780511662201
      9780521560368
      9780521059756
      DOI:
      https://doi.org/10.1017/CBO9780511662201
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.508kg, 268 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.433kg, 268 Pages
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis
      Series:
      Cambridge Tracts in Mathematics (120)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis
    Series:
    Cambridge Tracts in Mathematics (120)
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    Book description

    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.

    Reviews

    Review of the hardback:‘… a fresh approach.’

    Source: 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 Source: 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 Source: International Mathematical News

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