The pointwise convergence of p-adic Mobius maps
文献类型：期刊论文
| 作者 | Wang YueFei; Yang JingHua |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2014 |
| 卷号 | 57期号:1页码:1-8 |
| 关键词 | p-adic Mobius maps pointwise convergence Berkovich space |
| ISSN号 | 1674-7283 |
| 其他题名 | The pointwise convergence of p-adic Mobius maps |
| 英文摘要 | The convergence of linear fractional transformations is an important topic in mathematics. We study the pointwise convergence of p-adic Mobius maps, and classify the possibilities of limits of pointwise convergent sequences of Mobius maps acting on the projective line P-1(C-p), where C-p is the completion of the algebraic closure of Q(p). We show that if the set of pointwise convergence of a sequence of p-adic Mobius maps contains at least three points, the sequence of p-adic Mobius maps either converges to a p-adic Mobius map on the projective line P-1(C-p), or converges to a constant on the set of pointwise convergence with one unique exceptional point. This result generalizes the result of Piranian and Thron (1957) to the non-archimedean settings. |
| 资助项目 | [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5040976 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/56532]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Wang YueFei,Yang JingHua. The pointwise convergence of p-adic Mobius maps[J]. SCIENCE CHINA-MATHEMATICS,2014,57(1):1-8. |
| APA | Wang YueFei,&Yang JingHua.(2014).The pointwise convergence of p-adic Mobius maps.SCIENCE CHINA-MATHEMATICS,57(1),1-8. |
| MLA | Wang YueFei,et al."The pointwise convergence of p-adic Mobius maps".SCIENCE CHINA-MATHEMATICS 57.1(2014):1-8. |
入库方式： OAI收割
来源：数学与系统科学研究院
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