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B^2到B^4上的一族逆紧全纯多项式映照 被引量:5

The Family of Proper Holomorphic Polynomial Mappings from B^2 to B^4
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摘要 不等维多元复欧式空间中单位球间的逆紧全纯映照问题是多元复分析研究领域的传统与经典问题,至今,仍有丰富的内容尚待研究.本文构造了一族二维单位球到四维单位球间的逆紧全纯多项式映照. The problem on the unit balls in different dimensional complex Euclidean space in several complex variables is classical and traditional. There are abundant research contents about them. In this paper,the family of proper holomorphic polynomial mappings fromto is structured.
作者 程晓亮
出处 《吉林师范大学学报(自然科学版)》 2014年第2期49-51,共3页 Journal of Jilin Normal University:Natural Science Edition
基金 国家自然科学基金项目(11301215) 吉林省科技发展计划项目(20130522094JH) 吉林省教育厅"十二五"科学技术研究项目(2014第484号) 四平市科技发展计划项目(四科合字第2013053号) 吉林师范大学博士启动项目
关键词 单位球 逆紧全纯映照 多项式 unit balls proper holomorphic mappings polynomial
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  • 2JI ShanYu 1 & ZHANG Yuan 2 1 Department of Mathematics, University of Houston, Houston, TX 77204, USA 2 Department of Mathematics, University of California at San Diego, La Jolla, CA 92093, USA.Classification of rational holomorphic maps from B^2 into B^N with degree 2[J].Science China Mathematics,2009,52(12):2647-2667. 被引量:5
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