Almansi-Type Decomposition Theorem for Bi-k-regular Functions in the Clifford Algebra Cl_(2n+2,0)(R)  

作　　者：Lixia LIU Yue LIU Yonghong XIE 

机构地区：[1]School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,China

出　　处：《Chinese Annals of Mathematics,Series B》2022年第2期253-264,共12页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11871191);the Science Foundation of Hebei Province(No.A2019106037);the Graduate Student Innovation Project Foundation of Hebei Province(No.CXZZBS2022066);the Key Foundation of Hebei Normal University(Nos.L2018Z01,L2021Z01)

摘　　要：Almansi-type decomposition theorem for bi-k-regular functions defined in a star-like domainΩ⊆R^(n+1)×R^(n+1)centered at the origin with values in the Clifford algebra Cl_(2n+2,0)(R)is proved.As a corollary,Almansi-type decomposition theorem for biharmonic functions of degree k is given.

关 键 词：Real Clifford analysis Biregular functions Bi-k-regular functions Almansi-type decomposition theorem 

分 类 号：O174[理学—数学]