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《alexander, wermer several complex variables and banach algebras gtm 35 (1998)外語(yǔ)英文電子書》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在教育資源-天天文庫(kù)。
1、SeveralComplexVariablesandBanachAlgebras,ThirdEditionHerbertAlexanderJohnWermerSpringertoSusanandtothememoryofKerstinThispageintentionallyleftblankTableofContentsPrefacetotheSecondEditionixPrefacetotheRevisedEditionxiChapter1PreliminariesandNotation1Chapter2ClassicalApproximatio
2、nTheorems5Chapter3OperationalCalculusinOneVariable17Chapter4DifferentialForms23Chapter5The?-Operator27Chapter6TheEquation?uf31Chapter7TheOka-WeilTheorem36Chapter8OperationalCalculusinSeveralVariables43Chapter9TheSilovBoundaryˇ50Chapter10MaximalityandRado’sTheorem′57Chapter11Max
3、imumModulusAlgebras64Chapter12HullsofCurvesandArcs84Chapter13IntegralKernels92Chapter14PerturbationsoftheStone–WeierstrassTheorem102Chapter15TheFirstCohomologyGroupofaMaximalIdealSpace112Chapter16The?-OperatorinSmoothlyBoundedDomains120viiviiiTableofContentsChapter17ManifoldsWit
4、houtComplexTangents134Chapter18SubmanifoldsofHighDimension146Chapter19BoundariesofAnalyticVarieties155Chapter20PolynomialHullsofSetsOvertheCircle170Chapter21Areas180Chapter22TopologyofHulls187Chapter23PseudoconvexsetsinCn194Chapter24Examples206Chapter25HistoricalCommentsandRecen
5、tDevelopments224Chapter26Appendix231Chapter27SolutionstoSomeExercises237Bibliography241Index251PrefacetotheSecondEditionDuringthepasttwentyyearsmanyconnectionshavebeenfoundbetweenthetheoryofanalyticfunctionsofoneormorecomplexvariablesandthestudyofcommutativeBanachalgebras.Ontheo
6、nehand,functiontheoryhasbeenusedtoansweralgebraicquestionssuchasthequestionoftheexistenceofidempotentsinaBanachalgebra.Ontheotherhand,conceptsarisingfromthestudyofBanachalgebrassuchasthemaximalidealspace,theSilovboundary,Gleasonparts,etc.ˇhaveledtonewquestionsandtonewmethodsofpr
7、oofinfunctiontheory.Roughlyonethirdofthisbookisconcernedwithdevelopingsomeoftheprinci-palapplicationsoffunctiontheoryinseveralcomplexvariablestoBanachalgebras.Wepresupposenoknowledgeofseveralcomplexvariablesonthepartofthereaderbutdevelopthenecessarymaterialfromscratch.Theremaind
8、erofthebookdealswithproblemsofuniformapproximat
