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Wang Yuefei; Yang Jinghua
Source Publicationsciencechinamathematics
AbstractThe 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.
Funding Project[National Natural Science Foundation of China]
Document Type期刊论文
Recommended Citation
GB/T 7714
Wang Yuefei,Yang Jinghua. thepointwiseconvergenceofpadicmobiusmaps[J]. sciencechinamathematics,2014,57(1):1.
APA Wang Yuefei,&Yang Jinghua.(2014).thepointwiseconvergenceofpadicmobiusmaps.sciencechinamathematics,57(1),1.
MLA Wang Yuefei,et al."thepointwiseconvergenceofpadicmobiusmaps".sciencechinamathematics 57.1(2014):1.
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