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9780521059756

Function Spaces, Entropy Numbers, Differential Operators

by
  • ISBN13:

    9780521059756

  • ISBN10:

    0521059755

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2008-02-04
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

The abstract background
Function spaces
Entropy and approximation numbers of embeddings
Weighted function spaces and entropy numbers
Elliptic operators
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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