Function spaces, entropy numbers, differential operators
by Edmunds, D. E., (David Eric)
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new 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 eige…
Read More ↓Title Statements
- Full title :Function spaces, entropy numbers, differential operators / D.E. Edmunds, H. Triebel.
Summary
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new 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.
Read More ↓Edition Statements
- Publication Date:1996.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:1996.
Notes
Series statement from jacket.
The Physical Object
- Description:xi, 252 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:0521560365, 9780521560368
- oclc:ocm33133209
- LC Classification:QA323
- Dewey Decimal:515/.73
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.
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