Function spaces, entropy numbers, differential operators / D.E. Edmunds, H. Triebel.
Material type: TextSeries: Cambridge tracts in mathematics ; 120.Publisher: Cambridge : Cambridge University Press, 1996Description: 1 online resource (xi, 252 pages) : digital, PDF file(s)Content type:- text
- computer
- online resource
- 9780511662201 (ebook)
- 515/.73 20
- QA323 .E26 1996
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
1. The Abstract Background -- 2. Function Spaces -- 3. Entropy and Approximation Numbers of Embeddings -- 4. Weighted Function Spaces and Entropy Numbers -- 5. Elliptic Operators.
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.
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