Further remarks on the exponent of convergence of Poincaré series
Further remarks on the exponent of convergence of Poincaré series
复制标题
关于庞加莱级数收敛指数的进一步评论
DOI：
10.2748/tmj/1178228995
复制
发表时间：
1983
影响因子：
0.5
通讯作者：
S. Patterson
中科院分区：
文献类型：
--
作者：
S. Patterson
（n+1）维双曲空间Hn+1的群Con（n）我们将在.（G）. n，称为G上Poincare级数的收敛指数。它与G的几个几何性质有关;这些性质一直是许多研究的主题，但在[5]中，Sullivan详尽地讨论了这些性质，并在几个重要点上完成了它们。本文所关心的问题是估计问题
group Con(n) of (n+1)-dimensional hyperbolic space Hn+1 We shall associate in • ̃3 a certain number ƒÂ(G), 0•...ƒÂ(G)•...n, to G called the exponent of convergence of the Poincare series attached to G. It is related to several of the geometric properties of G; these properties have been the subject of many investigations but in [5] Sullivan has discussed these exhaustively and completed them in several important points. The question with which this paper is concerned is that of estimating