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The Quaternionic Cauchy-Szeg\'{o} Kernel on the Quaternionic Siegel Half Space

Authors :
Wang, Jinxun
Li, Xingmin
Liao, Jianquan
Publication Year :
2012

Abstract

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.<br />Comment: 17 pages, has been submitted to journal for publication

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1210.5086
Document Type :
Working Paper