{"title":"单位圆盘解析自映射的边界渐近展开式","authors":"V. Bolotnikov, M. Elin, D. Shoikhet","doi":"10.2422/2036-2145.201308_001","DOIUrl":null,"url":null,"abstract":"We present necessary and sufficient conditions for the existence and \nfor the uniqueness of an analytic self-mapping of the open unit disk having prescribed \nnon-tangential boundary asymptotics at finitely many preassigned boundary \npoints.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"8 1","pages":"399-433"},"PeriodicalIF":1.2000,"publicationDate":"2016-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Boundary asymptotic expansions of analytic self-mappings of the unit disk\",\"authors\":\"V. Bolotnikov, M. Elin, D. Shoikhet\",\"doi\":\"10.2422/2036-2145.201308_001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present necessary and sufficient conditions for the existence and \\nfor the uniqueness of an analytic self-mapping of the open unit disk having prescribed \\nnon-tangential boundary asymptotics at finitely many preassigned boundary \\npoints.\",\"PeriodicalId\":50966,\"journal\":{\"name\":\"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze\",\"volume\":\"8 1\",\"pages\":\"399-433\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2016-02-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2422/2036-2145.201308_001\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2422/2036-2145.201308_001","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Boundary asymptotic expansions of analytic self-mappings of the unit disk
We present necessary and sufficient conditions for the existence and
for the uniqueness of an analytic self-mapping of the open unit disk having prescribed
non-tangential boundary asymptotics at finitely many preassigned boundary
points.
期刊介绍：
The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication.
The Annals of the Normale Scuola di Pisa - Science Class is published quarterly
Soft cover, 17x24
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