REAL ANALYSIS - Centro de Matemática

REAL ANALYSISI bookroot October 20, 2007 PrincetonLecturesinAnalysisI Fourier ANALYSIS : An IntroductionII Complex AnalysisIII Real ANALYSIS : Measure Theory, Integration, andHilbert SpacesIV functional ANALYSIS : Introductionto further topics in AnalysisPrinceton Lectures in AnalysisIIIREAL ANALYSISM easure Theory, Integration, andHilbert SpacesElias M. Stein&Rami ShakarchiPRINCETON UNIVERSITY PRESSPRINCETON AND OXFORDC opyright 2005 by Princeton University PressPublished by Princeton University Press, 41 William Street,Princeton, New Jersey 08540In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1 TWAll Rights ReservedLibrary of Congress Control Number 2004114065 ISBN 978-0-691-11386-9 British Library Cataloging-in-Publication Data is availableThe publisher would like to acknowledge the authors of this volume for providing the camera-ready copy from which this book was printedPrinted on acid-free paper.

II. Complex analysis. III. Measure theory, Lebesgue integration, and Hilbert spaces. IV. A selection of further topics, including functional analysis, distri-butions, and elements of probability theory. However, this listing does not by itself give a complete picture of the many interconnections that are presented, nor of the applications

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  Analysis, Topics, Functional, Functional analysis, Further, Further topics

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