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

Published 18 Oct 2012 in math.FA and math.CV | (1210.5086v1)

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.

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