{"title":"Rigidity of projection map and the growth of analytic functions.","authors":"Mitsuru Ozawa","doi":"10.2996/KMJ/1138844858","DOIUrl":null,"url":null,"abstract":"for a single-valued meromorphic function F(w) in the punctured disc <70< log |M;|<OO satisfying the condition TP(σ, F)=o(e ). This fact says that f(p) preserves the projection map F0: W— >2B*, that is, f(Pι)=f(Pz) if Fo(p1)=F0(p2)t when f(p) satisfies the desired growth condition. Such a phenomenon was studied non-systematically by the various authors. Excepting the closed surface case, the first one who explained the phenomenon is Selberg [5]. However his ramification theorem in his celebrated theory [4], that is,","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"12 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1964-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Seminar Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2996/KMJ/1138844858","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
for a single-valued meromorphic function F(w) in the punctured disc <70< log |M;|2B*, that is, f(Pι)=f(Pz) if Fo(p1)=F0(p2)t when f(p) satisfies the desired growth condition. Such a phenomenon was studied non-systematically by the various authors. Excepting the closed surface case, the first one who explained the phenomenon is Selberg [5]. However his ramification theorem in his celebrated theory [4], that is,
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