H-type Group, Hardy Space HP(Un)and its Cauchy-Szeg\"{o} Kernel over the Hypercomplex Systems
Speaker:Mr. Wang Jinxun
(representing Prof. Li Xing Min)
South China Normal University
Date & Time:10 Dec 2009 (Thursday) 15:00 - 16:00
Venue:JM20

Abstract

In this talk, we mainly talk about the Hardy space on Heisenberg-type group(H-type group). The quaternion-valued Cauchy-Szeg\"{o} kernel of the Hardy space HP(Un) on the Siegel half space Un is deduced; Octonionic H-type group is introduced and the Hardy space on the octonionic Siegel half space is investigated. We will pose some open problems related to this topic in the end of the talk.