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1、CornerstonesSeriesEditorsCharlesL.Epstein,UniversityofPennsylvania,PhiladelphiaStevenG.Krantz,UniversityofWashington,St.LouisAdvisoryBoardAnthonyW.Knapp,StateUniversityofNewYorkatStonyBrook,EmeritusAnthonyW.KnappAdvancedRealAnalysisAlongwithacompanionvolum
2、eBasicRealAnalysisBirkhauser¨Boston•Basel•BerlinAnthonyW.Knapp81UpperSheepPastureRoadEastSetauket,NY,11733-1729U.S.A.e-mailto:aknapp@math.sunysb.eduhttp://www.math.sunysb.edu/˜aknapp/books/advanced.htmlCoverdesignbyMaryBurgess.MathematicsSubjectClassicifica
3、tion(2000):46-01,42-01.43-01,35-01,34-01,47-01,58-01,60A99,28C10LibraryofCongressCataloging-in-PublicationDataKnapp,AnthonyW.Advancedrealanalysis:alongwithacompanionvolumeBasicrealanalysis/AnthonyW.Knappp.cm.–(Cornerstones)Includesbibliographicalreferences
4、andindex.ISBN0-8176-4382-6(alk.paper)1.Mathematicalanalysis.I.Title.II.Cornerstones(Birkhauser)¨QA300.K562005515–dc222005048070ISBN-100-8176-4382-6eISBN0-8176-4442-3Printedonacid-freepaper.ISBN-13978-0-8176-4382-9BasicRealAnalysisISBN0-8176-3250-6BasicReal
5、AnalysisandAdvancedRealAnalysis(Set)ISBN0-8176-4407-5c2005AnthonyW.KnappAllrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(BirkhauserBoston,c/oSpringerScience¨+BusinessMediaInc.,233SpringStreet,New
6、York,NY10013,USA)andtheauthor,exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedis
7、forbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.(MP)987654321SPIN1
8、1372219www.birkhauser.comToSusanandToMyReal-AnalysisTeachers:SalomonBochner,WilliamFeller,HillelFurstenberg,Harish-Chandra,SigurdurHelgason,JohnKemeny,JohnLamperti,HazletonMirkil,EdwardNelson,LaurieSnell,Elia
