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" Measure and integral : "
Richard L. Wheeden [and] Antoni Zygmund.
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BL
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| Record Number
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847449
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| Main Entry
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Wheeden, Richard L.
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| Title & Author
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Measure and integral : : an introduction to real analysis /\ Richard L. Wheeden [and] Antoni Zygmund.
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| Publication Statement
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New York :: M. Dekker,, ©1977.
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| Series Statement
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Monographs and textbooks in pure and applied mathematics ;; 43
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| Page. NO
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x, 274 pages :: illustrations ;; 24 cm.
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| ISBN
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0824764994
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: 9780824764999
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| Notes
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Includes index.
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| Abstract
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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.
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| Subject
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Integrals, Generalized.
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Measure theory.
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Intégrales généralisées.
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Mesure, Théorie de la.
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Intégrales généralisées.
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Integrals, Generalized.
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Integrationstheorie
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Maßtheorie
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Measure theory.
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Mesure, Théorie de la.
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| Dewey Classification
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515/.42
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| LC Classification
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QA312.W43
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| NLM classification
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SK 430rvk
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| Added Entry
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Zygmund, Antoni,1900-1992
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