On Cauchy-Szegö kernel for quaternionic Siegel upper half space

2012/10/09 by Chang, Der Chen, Markina, Irina, Wang, Wei
#42B30 #42B35 #43A15 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1210.2541

Abstract

The work is dedicated to the construction of the Cauchy-Szegö kernel for the Cauchy-Szegö projection integral operator from the space of L²-integrable functions defined on the boundary of the quaternionic Siegel upper half space to the space of boundary values of the quaternionic regular functions of the Hardy space over the quaternionic Siegel upper half space.

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