八元数分析中的Riemann边值问题及八元全纯函数的零化子  

Riemann Boundary Value Problem and the Annihilators of Octonion Holomorphic Functions in Octonion Analysis

作　　者：郭永华 王海燕[1] GUO Yong-hua;WANG Hai-yan(School of Science,Tianjin University of Technology and Education,Tianjin 300222,China)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《数学的实践与认识》2020年第16期232-238,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(11526154);天津职业技术师范大学校级项目(KYQD14041,KJ15-18)。

摘　　要：八元数是非交换非结合的可除代数,可以用来描述黑洞、弦论、相对论等物理现象.利用Plemelj-Sokhotski公式和压缩映照定理,研究了八元全纯函数的零化子和Riemann边值问题.The octonion has been widely used as a mathematical tool for the description of physical phenomena such as black hole,string theory and special relativity.In this paper,applying contractive mapping principle and Plemelj-Sokhotski formula for Holder continuous function we study the Riemann boundary problem and the annihilators of octonion holomorphic functions.

关 键 词：八元数 结合子 零因子 Plemelj-Sokhotski公式 RIEMANN边值问题 

分 类 号：O175.8[理学—数学]