{"title":"HOLOMORPHIC EXTENSION OF CR-FUNCTIONS WITH SINGULARITIES ON A HYPERSURFACE","authors":"A. Kytmanov","doi":"10.1070/IM1991V037N03ABEH002164","DOIUrl":null,"url":null,"abstract":"Let be a Stein manifold of dimension , let be a domain which is relatively compact in with connected, and let with . It is shown that any CR-function which is defined on extends holomorphically to . A local version of this assertion is also obtained.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V037N03ABEH002164","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
Let be a Stein manifold of dimension , let be a domain which is relatively compact in with connected, and let with . It is shown that any CR-function which is defined on extends holomorphically to . A local version of this assertion is also obtained.
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