On the octonionic Bergman kernel

2016/06/16 by Wang, Jinxun, Li, Xingmin
#30G35 #30H20 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1606.05095

Abstract

By introducing a suitable new definition for the inner product on the octonionic Bergman space, we determine the explicit form of the octonionic Bergman kernel, in the framework of octonionic analysis which is non-commutative and non-associative.

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