The Quaternionic Cauchy-Szeg\"{o} Kernel on the Quaternionic Siegel Half   Space
  The quaternionic Cauchy-Szeg\"{o} 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. 
Jinxun Wang, Xingmin Li and Jianquan Liao
math.FA math.CV