ON STEIN-WEISS CONJUGATE HARMONIC FUNCTION AND OCTONION ANALYTIC FUNCTION

作     者：Li Xingmin Peng Lizhong 

作者机构：Department of MathematicsGuangzhou Normal University510405GuangzhouP.R.China Department of MathematicsPeking University100871BeijingP.R.China 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2000年第16卷第2期

页      面：28-36页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NNSF of China and the doctoral grant of China 

主　　题：oscillatory integral operator multiplier singularity 

摘      要：It is shown that the Stein-Weiss conjugate harmonic function is the Quarternion and the Octonion analytic function. We find a counter example to show the converse is not ture in the Octonion case, by which we have answered the question proposed in [1].