The Octonionic Bergman Kernel for the Half Space

被引：0
作者：
Jinxun Wang
Xingmin Li
机构：
[1] Guangdong University of Foreign Studies,School of Mathematics and Statistics
[2] South China Normal University,School of Computer Sciences
来源：
Advances in Applied Clifford Algebras | 2020年 / 30卷
关键词：
Octonions; Octonionic analysis; Bergman kernel; Primary 30G35; Secondary 30H20;
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摘要：
We obtain the octonionic Bergman kernel for half space in the octonionic analysis setting by two different methods. As a consequence, we unify the kernel forms in both complex analysis and hyper-complex analysis.
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Li X(2010)Orthonormal basis of the octonionic analytic functions J. Math. Anal. Appl. 366 335-344
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