資源描述：
《137-AxlerBourdonRameyHarmonicfunctiontheory.pdf》由會員上傳分享，免費在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫。
1、HarmonicFunctionTheorySecondEditionSheldonAxlerPaulBourdonWadeRamey26December2000Thiscopyrightedpdf?leisavailablewithoutchargeonlytoindividualswhohavepurchasedacopyofHarmonicFunctionTheory,secondedition.Pleasedonotdistributethis?leoritspasswordtoanyoneanddonotpostitontheweb.?2001Springer-V
2、erlagNewYork,Inc.PDFIssues?InyourAdobeAcrobatsoftware,gotothe“File”menu,select“Preferences”,then“General”,thenchangethesettingof“SmoothTextandImages”todeterminewhetherthisdocumentlooksbet-terwiththissettingcheckedorunchecked.Someusersreportthatthetextlooksconsiderablybetteronthescreenwith“
3、SmoothTextandImages”unchecked,whileotherusershavetheoppositeexperience.?Textinredislinkedtotheappropriatepagenumber,chapter,theorem,equation,exercise,reference,etc.Clickingonredtextwillcauseajumptothepagecontainingthecorrespondingitem.?Thebookmarksattheleftcanalsobeusedfornavigation.Clicko
4、nachaptertitleorsectiontitletojumptothatchapterorsection(sectiontitlescanbeviewedbyclickingontheexpandicontotheleftofthechaptertitle).?Insteadofusingtheindexattheendofthebook,useAcrobat’s?ndfeaturetolocatewordsthroughoutthebook.ContentsPrefaceixAcknowledgmentsxiChapter1BasicPropertiesofHar
5、monicFunctions1De?nitionsandExamples.......................1InvarianceProperties..........................2TheMean-ValueProperty........................4TheMaximumPrinciple.........................7ThePoissonKernelfortheBall....................9TheDirichletProblemfortheBall................
6、..12ConverseoftheMean-ValueProperty................17RealAnalyticityandHomogeneousExpansions..........19OriginoftheTerm“Harmonic”....................25Exercises..................................26Chapter2BoundedHarmonicFunctions31Liouville’sTheorem...........................31IsolatedSingu
7、larities..........................32Cauchy’sEstimates...........................33NormalFamilies.............................35MaximumPrinciples...........................36LimitsAlongRays............................38BoundedHarmonicFunctionsontheBall.........
