Research Catalog

Measure and integral : an introduction to real analysis

Title
Measure and integral : an introduction to real analysis / Richard L. Wheeden [and] Antoni Zygmund.
Author
Wheeden, Richard L.
Publication
New York : M. Dekker, ©1977.

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Details

Additional Authors
Zygmund, Antoni, 1900-1992
Description
x, 274 pages : illustrations; 24 cm.
Summary
This volume develops the classical theory of the Lebesgue integral and some of its applications. Following a thorough study of the concepts of outer measure and measure, the author initially presents the integral in the context of n-dimensional Euclidean space. A more general treatment of the integral, based on an axiomatic approach, is given later. The book examines closely related topics in real variables, such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, L(p) classes, and various results about differentiation. Several applications of the theory to a specific branch of analysis-harmonic analysis-are also provided.
Series Statement
Monographs and textbooks in pure and applied mathematics ; 43
Uniform Title
Monographs and textbooks in pure and applied mathematics ; 43.
Subject
  • Measure theory
  • Integrals, Generalized
  • Integrals, Generalized
  • Measure theory
  • Integrationstheorie
  • Maßtheorie
  • Mesure, Théorie de la
  • Intégrales généralisées
Note
  • Includes index.
ISBN
  • 0824764994
  • 9780824764999
LCCN
  • 77014167
  • 9780824764999
OCLC
  • ocm03294575
  • 3294575
  • SCSB-276898
Owning Institutions
Princeton University Library