Octonion Analysis of Several Variables  

作　　者：Haiyan Wang Guangbin Ren 

机构地区：[1]School of Science,Tianjin University of Technology and Education,Tianjin 300222,China [2]Department of Mathematics,University of Science and Technology of China,Hefei 230026,China

出　　处：《Communications in Mathematics and Statistics》2014年第2期163-185,共23页数学与统计通讯（英文）

基　　金：This work was supported by the NNSF of China(11071230),RFDP(20123402110068).

摘　　要：The octonions are distinguished in the M-theory in which Universe is the usual Minkowski space R4 times a G2 manifold of very small diameter with G2 being the automorphism group of the octonions.The multidimensional octonion analysis is initiated in this article,which extends the theory of several complex variables,such as the Bochner–Martinelli formula,the theory of non-homogeneous Cauchy–Riemann equations,and the Hartogs principle,to the non-commutative and non-associative realm.

关 键 词：Several octonionic variables Bochner–Martinelli formula Hartogs theorem Non-homogenous Cauchy–Riemann equations 

分 类 号：O17[理学—数学]