The octonionic Bergman kernel for the half space
Wang Jinxun, Li Xingmin
TL;DR
This paper derives the octonionic Bergman kernel for the half space using two methods, unifying kernel forms across complex and hyper-complex analysis.
Contribution
It introduces the octonionic Bergman kernel for half space and connects it with classical kernels in complex and hyper-complex analysis.
Findings
Derived the octonionic Bergman kernel for half space
Unified kernel forms across different analysis settings
Provided two different derivation methods
Abstract
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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Taxonomy
TopicsAlgebraic and Geometric Analysis · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods