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.
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