Asymptotics for Certain Harmonic Functions and the Martin Compactification on the Quaternionic Heisenberg Group

被引：0
|
作者：
Jing Wen LUAN Fu Liu ZHU School of Mathematics and Statistics
机构：
来源：
Acta Mathematica Sinica,English Series | 2005年 / 21卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Quaternionic Heisenberg group; Asymptotic estimate; Heat kernel; Martin boundary;
D O I：
暂无
中图分类号：
O152 [群论];
学科分类号：
070104 ;
摘要：
In this paper,we make the asymptotic estimates of the heat for the quaternionicHeisenberg group in various cases.We also use these results to deduce the asymptotic estimates ofcertain harmonic functions on the quaternionic Heisenberg group.Moreover a Martin compactificationof the quaternionic Hersenberg group is constructed,and we prove that the Martin boundary of thisgroup is homeomorphic to the unit ball in the quaternionic field.
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页码：1295 / 1308
页数：14
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