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  3. Function Spaces, Entropy Numbers, Differential Operators
  • Cited by 242
Publisher:
Cambridge University Press
Online publication date:
July 2010
Print publication year:
1996
Online ISBN:
9780511662201
DOI:
https://doi.org/10.1017/CBO9780511662201
Subjects:
Mathematics (general), Mathematics, Abstract Analysis
Series:
Cambridge Tracts in Mathematics (120)
Information

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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