Function Spaces, Entropy Numbers, Differential Operators

Erscheinungsjahr 2005
ISBN: 978-0-521-56036-8
Verlag: Cambridge University Press

Buch, Englisch, Band 120, 264 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 590 g

Reihe: Cambridge Tracts in Mathematics

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.

Autoren/Hrsg.

Edmunds, D. E.

Triebal, H.

Triebel, H.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

1. The abstract background; 2. Function spaces; 3. Entropy and approximation numbers of embeddings; 4. Weighted function spaces and entropy numbers; 5. Elliptic operators; Bibliography.