✦ LIBER ✦

Hua System and Pluriharmonicity for Symmetric Irreducible Siegel Domains of Type II

✍ Scribed by Aline Bonami; Dariusz Buraczewski; Ewa Damek; Andrzej Hulanicki; Richard Penney; Bartosz Trojan

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 248 KB
Volume: 188
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3823

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✦ Synopsis

We consider here a generalization of the Hua system that was proved by Johnson and Korányi to characterize Poisson-Szego ˝integrals for Siegel domains of tubetype. We show that the situation is completely different when dealing with nontube-type symmetric irreducible symmetric domains: then all functions that are annihilated by this second-order system and satisfy an H 2 -type integrability condition are pluriharmonic functions.