Function Spaces, Entropy Numbers, Differential Operators (Hardcover)

D.E. Edmunds

ISBN 10: 0521560365 / ISBN 13: 9780521560368

Published by Cambridge University Press, Cambridge, 1996

About this Item

Hardcover. The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical problems in this area, and this book presents a fresh approach, largely based on 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 nonspecialists. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521560368

Bibliographic Details

Title: Function Spaces, Entropy Numbers, ...

Publisher: Cambridge University Press, Cambridge

Publication Date: 1996

Binding: Hardcover

Condition: new

About this title

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.

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