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

Jinxun Wang, Xingmin Li, Jianquan Liao

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…