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1、OlliLehtoUnivalentFunctionsandTeichmüllerSpacesWith16Illustrations*Springer-VerlagNoridPublishingCorp0(11LehtoDepartme'ntofMathematicsUniversityofHelsinki00100HelsinkiFinlandEditorialBoardP.R.HalmosF.W.GehringDepartmentofMathematicsDepartmentofMathematicsSantaCl
2、araUniversityUniversityofMichiganSantaClara,CA95053AnnArbor,MI48109U.S.A.U.S.A.AMSSubjectClassirications:30-01,32615,30F30.30F35LibraryofCongressCataloginginPublicationDataLehto,0111.UnivalentfunctionsandTeichynüllerspaces.(Gi'aduatetextsin109)Bibliography:p.Inc
3、ludesindex.I.Univalentfunctions.2.Teichmüllerspaces.3.Riemannsurfaces.I.Title.II,Series.QA331.L427198651586-4008©1987bySpringer-VerlagNewYorkInc.Allrightsreserved.NopartofthisbookmaybetranslatedorreproducedinanyformwithoutwrittcnpermissionfromSpringer-Verlag,175
4、FifthAvenue,NewYork.NewYork10010,U.S.A.ReprintedbyWorldPublishingCorporation,Beijing,1990fordistributionandsaleinThePeople'sRepublicofChinaonlyISBN7—5062—0732--XISBN0-387-96310-3Springer-VerLagNewYorkBerlinHeidelbergISBN3-540-96310-3Springer-VerlagI3cilinHeidelb
5、ergNewYorkPrefaceThismonographgrewoutofthenotesrelatingtothelecturecoursesthatIgaveattheUniversityofHelsinkifrom1977to1979,attheEidgenossischeTechnischeHochschuleZünchin1980,andtheUniversityofMinnesotain1982.ThebookpresumablywouldneverhavebeenwrittenwithoutFredG
6、ehrfng'scontinuousencouragement.ThankstothearrangementsmadebyEdgarReichandDavidStorvick,Iwasabletospendthefalltermof1982inMinneapolisanddoagoodpartofthewritingthere.BackinFinland,othercommitmentsdelayedthecompletionofthetext.Atthefinalstagesofpreparingthemanuscr
7、ipt,IwasassistedfirstbyMikaSeppälaandthenbyJouniLuukkainen,whobothhadagrantfromtheAcademyofFinland.Iamgreatlyindebtedtothemfortheimprovementstheymadeinthetext.1alsoreceivedvaluableadviceandcriticismfromKariAstala,RichardFehlmann,BarbaraFlinn,FredGchring,PenttiJä
8、rvi,IrwinKra,MattiLehtinen,lippoLouhivaara,BrucePalka,KurtStrebel,KaleviSuominen,PekkaTukiaandKalleVirtanen.ToallofthemIwouldliketoexpressmygratitude.RailiPauninsalod
