多复变中的全纯函数和积分表示（英文版）

图书标准信息

• 作者 [美]兰基（R.Michael Range） 著
• 出版社 世界图书出版公司
• 出版时间 2012-06
• 版次 1
• ISBN 9787510044052
• 定价 55.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 388页
• 正文语种 英语

【内容简介】

IampleasedthatSpringer-Verlaghasdecidedtoreprintthisbook，giving
metheopportunitytoincludeanumberofcorrections.ThechangesinthisprintingaremainlylimitedtothecorrectionoftypographicalandotherminorerrorswhichIhavebecomeawareofsince1986.Acoupleofchangesshouldbementionedexplicitly.ThedefinitionofcompletelysrngularinChapterH.2hasbeenmodifiedslightly，theproofofTheoremI1.2.3hasbeenchangedaccordingly，andAppendixChasbeenrewritten.IwouldliketothankJ.Bruna，K.Burke，J.Fleron，W.Rudin，W.StollandE.Straubefortheirhelpfulcomments.
Soonafterpublicationofthefirstedition，E.Martinellybroughttomyat-tentionsomepapersbyF.SeveriandG.Fichera，whichplayafundamentalroleinthedevelopmentoftheso-calledCRextensiontheorem.Thisresult-astrengtheningofthecelebratedHartogsExtensionTheorem-involvesthecharacterizationofboundaryvaluesofholomorphicfunctionsbythetangen-tialCauchy-Riemannequations，i.e.，byintrinsicconditionsontheboundary.Unfortunately，muchoftheliteraturewritteninEnglishrelatedtotbistopichadbeenunawareoftheworkofSeveriandFichera，andthusitpresentsaninaccurateaccountofitshistory.InviewofthenewevidenceandofthegreatinterestwhichtheHartogsandCRextensionphenomenahavegeneratedovermanydecades，Ihavecompletelyrevisedandexpandedtherelevantsections
oftheNotestoChapterIV.andIhaveaddedseveralnewreferencesto
thebibliography.ItismypleasuretothankR.Gunning，L.Hormander，J.J.Kohn，E.Martinelly，andH.Rossifortheirassistanceinsettingtherecordstraight.