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

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

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 43; no. 2; pp. 253 - 264
Main Authors Liu, Lixia, Liu, Yue, Xie, Yonghong
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2022
Springer Nature B.V
School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,China
Subjects
Applications of Mathematics
Decomposition
Harmonic functions
Mathematics
Mathematics and Statistics
Theorems
Real Clifford analysis
Biregular functions
17B40
regular functions
Bi
Almansi-type decomposition theorem
17B50
Bi-k-regular functions
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Summary:Almansi-type decomposition theorem for bi- k -regular functions defined in a star-like domain Ω ⊆ ℝ n +1 × ℝ n +1 centered at the origin with values in the Clifford algebra Cl 2 n +2,0 (ℝ) is proved. As a corollary, Almansi-type decomposition theorem for biharmonic functions of degree k is given.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-022-0315-8