{"title":"A kind of Riemann and Hilbert boundary value problem for left monogenic functions in Rm (m ≥ 2)","authors":"Y. Gong, Jinyuan Du †","doi":"10.1080/0278107041000179038","DOIUrl":null,"url":null,"abstract":"In this article, some properties of Cauchy-type integral and singular integral with integration domain are discussed, especially their boundary value properties at ∞. With the help of Painlevé theorem and Liouville theorem, a Riemann Boundary Value Problem (BVP for short) and a Hilbert BVP for left monogenic functions in Clifford analysis are investigated in the classical sense, their explicit representation of solutions are obtained respectively.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"41","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/0278107041000179038","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 41
Abstract
In this article, some properties of Cauchy-type integral and singular integral with integration domain are discussed, especially their boundary value properties at ∞. With the help of Painlevé theorem and Liouville theorem, a Riemann Boundary Value Problem (BVP for short) and a Hilbert BVP for left monogenic functions in Clifford analysis are investigated in the classical sense, their explicit representation of solutions are obtained respectively.
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