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| 半平面中级小于2的解析函数的积分表示 | |
| 引用本文： | 邓冠铁. 半平面中级小于2的解析函数的积分表示[J]. 北京师范大学学报(自然科学版), 2004, 40(5): 574-578 |
| 作者姓名： | 邓冠铁 |
| 作者单位： | 北京师范大学数学系,100875,北京 |
| 基金项目： | 国家自然科学基金，教育部留学回国人员科研启动基金 |
| 摘 要： | 证明了半平面中级小于2的解析函数可以用加权Blaschke乘积和在半平面边界上的积分表示出来,这一结果改进了在半平面为指数型解析函数的经典结果. |
| 关 键 词： | 解析函数 Blaschke乘积 积分表示 |
| 修稿时间： | 2004-01-20 |
INTEGRAL REPRESENTATION OF ANALYTIC FUNCTION OF ORDER LESS THAN TWO IN HALF PLANE |
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| Deng Guantie. INTEGRAL REPRESENTATION OF ANALYTIC FUNCTION OF ORDER LESS THAN TWO IN HALF PLANE[J]. Journal of Beijing Normal University(Natural Science), 2004, 40(5): 574-578 | |
| Authors: | Deng Guantie |
| Abstract: | It is proved that an analytic function of order less than 2 in a half plane can be represented by its weighted Blaschke product and its integral in the boundary of the half plane. This improves the classical result about analytic functions of exponential type in a half-plane. |
| Keywords: | analytic function Blaschke product integral representation |
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