Function Spaces, Entropy Numbers, Differential Operators (Cambridge Tracts in Mathematics)

Function Spaces, Entropy Numbers, Differential Operators (Cambridge Tracts in Mathematics)
By D. E. Edmunds, H. Triebel
Publisher: Cambridge University Press | 1996 | 268 Pages | ISBN: 0521560365 0521059755 | File type: PDF | 4.77 mb

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.


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