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1、CY535/Garnett0521470188January27,200515:41ThispageintentionallyleftblankCY535/Garnett0521470188January27,200515:41HarmonicMeasureDuringthelasttwodecadesseveralremarkablenewresultswerediscoveredaboutharmonicmeasureinthecomplexplane.Thisbookprovidesasurveyoftheseresultsandanintroductiontothebranchofa
2、nalysisthatcontainsthem.Manyoftheseresults,duetoBishop,Carleson,Jones,Makarov,Wolff,andothers,appearhereinbookformfortheÞrsttime.Thebookisaccessibletostudentswhohavecompletedstandardgraduatecoursesinrealandcomplexanalysis.TheÞrstfourchaptersprovidetheneededbackgroundmaterialonunivalentfunctions,pot
3、entialtheory,andextremallength,andeachchapterhasmanyexercisestofurtherinformandteachthereader.JOHNB.GARNETTisProfessorofMathematicsattheUniversityofCalifornia,LosAngeles.DONALDE.MARSHALLisProfessorofMathematicsattheUniversityofWashington.iCY535/Garnett0521470188January27,200515:41iiCY535/Garnett052
4、1470188January27,200515:41NEWMATHMONOGRAPHSEditorialBoardBlaBollobsWilliamFultonFrancesKirwanPeterSarnakBarrySimonForinformationaboutCambridgeUniversityPressmathematicspublicationsvisithttp://publishing.cambridge.org/stm/mathematicsiiiCY535/Garnett0521470188January27,200515:41ivCY535/Garnett0521470
5、188January27,200515:41HarmonicMeasureJOHNB.GARNETTUniversityofCalifornia,LosAngelesDONALDE.MARSHALLUniversityofWashingtonvCAMBRIDGEUNIVERSITYPRESSCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKPublishedintheUnitedStatesof
6、AmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521470186©CambridgeUniversityPress2005Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthe
7、writtenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2005ISBN-13978-0-511-34894-5eBook(EBL)ISBN-100-511-34894-0eBook(EBL)ISBN-13978-0-521-47018-6hardbackISBN-100-521-47018-8hardbackCambrid
