Function Spaces, Entropy Numbers, Differential Operators: 120 (Cambridge Tracts in Mathematics, Series Number 120) - Hardcover

Edmunds, D. E.; Triebel, H.

Hardcover

ISBN 10: 0521560365 ISBN 13: 9780521560368

Publisher: Cambridge University Press, 1996

Synopsis

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.

About this title

Review

Review of the hardback: '... a fresh approach.' 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, 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, International Mathematical News

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 treatment is largely self-contained and accessible to non-specialists. Both experts and newcomers alike will welcome this unique exposition.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1996
• ISBN 10: 0521560365
• ISBN 13: 9780521560368
• Binding: Hardcover
• Language: English
• Number of pages: 268