| （H,G）—变换和拟正则半群 |
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| 引用本文： | 郑神州. （H,G）—变换和拟正则半群[J]. 上海交通大学学报, 1998, 32(3): 116-119 |
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| 作者姓名： | 郑神州 |
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| 作者单位： | 上海交通大学应用数学系 |
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| 摘 要： | 研究一般的（Ｈ，Ｇ）型变换通过适当合成变换后生成拟正则半群；并建立了Ｇ－变换和（Ｈ，Ｇ）型变换两者之间的拟共形共轭关系．对于给定的一个拟正则半群，构造了一个不变共形结构ＧΓ，使得该半群中的每个元素在这个不变共形结构下保持Ｇ－变换不变．
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| 关 键 词： | 复变函数；G－变换；（H.G）－变换；拟正则半群；不变共形结构 |
(H,G) Transformations and Quasiregular Semigroups |
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| Zheng Shenzhou. (H,G) Transformations and Quasiregular Semigroups[J]. Journal of Shanghai Jiaotong University, 1998, 32(3): 116-119 |
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| Authors: | Zheng Shenzhou |
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| Abstract: | By researching general (H,G) transformations,it is obtained that a proper composition of (H,G) transformations forms a quasiregular semigroups.Furthermore,the relations of G transfromations and (H,G) transformations are established.Finally,for a given quasiregular semigroup one constructs an invariant confromal structure such that each element in the semigroup keeps G transformation invariant under this structure. |
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| Keywords: | complex variable functions G transformations (H G) transfromations quasiregular semigroups invariant conformal structure |
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