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 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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Veröffentlicht in:Chinese annals of mathematics. Serie B 2022-03, Vol.43 (2), p.253-264
Hauptverfasser: Liu, Lixia, Liu, Yue, Xie, Yonghong
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Decomposition
Harmonic functions
Mathematics
Mathematics and Statistics
Theorems
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Zusammenfassung: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