{"title":"关于保角映射唯一性的两个结果","authors":"S. Krantz","doi":"10.1080/02781070500140573","DOIUrl":null,"url":null,"abstract":"In this article, we give new, elementary, and very geometric proofs of two results in conformal mapping theory. One of these – about the size of the isotropy group of the set of conformal mappings of a domain – is nearly three-quarters of a century old. The other – about fixed points – is just two decades old.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Two results on uniqueness of conformal mappings\",\"authors\":\"S. Krantz\",\"doi\":\"10.1080/02781070500140573\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we give new, elementary, and very geometric proofs of two results in conformal mapping theory. One of these – about the size of the isotropy group of the set of conformal mappings of a domain – is nearly three-quarters of a century old. The other – about fixed points – is just two decades old.\",\"PeriodicalId\":272508,\"journal\":{\"name\":\"Complex Variables, Theory and Application: An International Journal\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Variables, Theory and Application: An International Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/02781070500140573\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070500140573","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this article, we give new, elementary, and very geometric proofs of two results in conformal mapping theory. One of these – about the size of the isotropy group of the set of conformal mappings of a domain – is nearly three-quarters of a century old. The other – about fixed points – is just two decades old.
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