Three-line Theorem on the Octonions  

作　　者：XingMinLI LiZhongPENG 

机构地区：[1]DepartmentofMathematics,SouthChinaNormalUniversity,Guangzhou510631,P.R.China [2]SchoolofMathematicalSciences,PekingUniversity,Beijing100871,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2004年第3期483-490,共8页数学学报（英文版）

基　　金：Research supported by the NNSF (19631080);973 Project of China (1999075105);NSF of Guangdong (030497,020586);NSF of Guangzhou (232)

摘　　要：The three-line theorem on the octonions is obtained, which generalizes the result of J. Peetre and P. Sj?lin from the associative Clifford algebra to non-associative octonion algebra.The three-line theorem on the octonions is obtained, which generalizes the result of J. Peetre and P. Sj?lin from the associative Clifford algebra to non-associative octonion algebra.

关 键 词：OCTONION O-analytic functions 3-line theorem 

分 类 号：O151[理学—数学]