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

2012/10/18 by Wang, Jinxun, Li, Xingmin, Liao, Jianquan
#30G35 #31B05 #31B10 #42B30 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1210.5086

Abstract

The quaternionic Cauchy-Szegö kernel of the Hardy space H²(U_n) on the quaternionic Siegel half space U_n is derived and the Hardy spaces on the octonionic Siegel half space is investigated.

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