English

On the octonionic Bergman kernel

Complex Variables 2016-06-17 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1606.05095,
  title  = {On the octonionic Bergman kernel},
  author = {Jinxun Wang and Xingmin Li},
  journal= {arXiv preprint arXiv:1606.05095},
  year   = {2016}
}

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10 pages