Asymptotics for certain harmonic functions and the Martin compactification on the quaternionic Heisenberg group

被引：1

作者：

Luan, JW ^{[1
]}

Zhu, FL ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

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：

10.1007/s10114-005-0554-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we make the asymptotic estimates of the heat kernel for the quaternionic Heisenberg group in various cases. We also use these results to deduce the asymptotic estimates of certain harmonic functions on the quaternionic Heisenberg group. Moreover a Martin compactification. of the quaternionic Heisenberg group is constructed, and we prove that the Martin boundary of this group is homeomorphic to the unit ball in the quaternionic field.

引用

页码：1295 / 1308

页数：14

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