Almansi-Type Decomposition Theorem for Bi-k-regular Functions in the Clifford Algebra Cl2n+2,0(R)*

Citation:

Lixia LIU.Almansi-Type Decomposition Theorem for Bi-k-regular Functions in the Clifford Algebra Cl2n+2,0(R)*[J].Chinese Annals of Mathematics B,2022,43(2):253~264
Page view: 87        Net amount: 96

Authors:

Lixia LIU;

Foundation:

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) and the Key Foundation of Hebei Normal University (Nos. L2018Z01, L2021Z01).
Abstract: Almansi-type decomposition theorem for bi-k-regular functions defined in a star-like domain Ω Rn+1 × Rn+1 centered at the origin with values in the Clifford algebra Cl2n+2,0(R) is proved. As a corollary, Almansi-type decomposition theorem for biharmonic functions of degree k is given.

Keywords:

Real Clifford analysis, Biregular functions, Bi-k-regular functions,Almansi-type decomposition theorem

Classification:

17B40, 17B50
Download PDF Full-Text

主管单位:国家教育部 主办单位:复旦大学 地址:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn

本系统由北京勤云科技发展有限公司提供技术支持