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Mathematical Analysis - Functional Analysis, Mathematical Programming & Operations Research, Mathematical Equations - Differential, Mathematical Spaces
Function Spaces, Entropy Numbers, Differential Operators by Edmunds, D. E. , Triebel, H. β€” book cover

Function Spaces, Entropy Numbers, Differential Operators

by Edmunds, D. E., Triebel, H.
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Overview

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.

Synopsis

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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Editorials

From the Publisher

"The book is an excellent introduction....The basic ideas are well outlined and supported by complete proofs." Georgi E. Karadzhov, Mathematical Reviews

Book Details

Published
June 13, 2026
Publisher
Cambridge University Press
Pages
268
Format
Paperback
ISBN
9780521059756

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