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REAL ANALYSIS

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.

Beginning in the spring of 2000, a series of four one-semester courses ... ear algebra. This makes these books accessible to students interested in such diverse disciplines as mathematics, physics, engineering, and ... aspects of the lectures, such as transparencies, notes, and the manuscript.

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