Transcription of REAL ANALYSIS - Centro de Matemática
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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.
advanced material. These can be omitted on flrst reading. We also want ... 6* Appendix: the spectral theorem 306 6.1 Statement of the theorem 306 6.2 Positive operators 307 6.3 Proof of the theorem 309 6.4 Spectrum 311 7 Exercises 312 8 Problems 319 ... work of analysis began to take shape, one that ultimately led to a vast ...
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Analysis, Spectral, Advanced, Hyperspectral, Spectral analysis, Algebraic Graph, Agilent OpenLAB CDS, Data Collection and Analysis Methods for, Series Analysis and Its Applications: With, Functional Analysis, Sobolev Spaces and, Functional Analysis and Operator Algebras: An Introduction, Functional analysis and operator algebras