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

Abstract

The quaternionic Cauchy-Szegö kernel of the Hardy space ${\mathcal{H}}^2({\mathcal{U}}_n)$ on the quaternionic Siegel half space ${\mathcal{U}}_n$ is derived and the Hardy spaces on the octonionic Siegel half space is investigated.

17 pages, has been submitted to journal for publication

Cited by in corpus (1)

• The octonionic Bergman kernel for the half space