On the octonionic Bergman kernel

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.

arXiv comment10 pages

References in corpus (1)

• The Quaternionic Cauchy-Szegö Kernel on the Quaternionic Siegel Half Space