Let D be a bounded homogeneous domain in C n . (Note that D is not assumed to be Hermitian-symmetric.) In this work we are interested in studying various classes of ``harmonic'' functions on D and the possibility of representing them as ``Poisson integrals'' over the Bergman-Shilov boundary. One suc
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Asymptotic expansions and Hua-harmonic functions on bounded homogeneous domains
โ Scribed by Bartosz Trojan
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 328 KB
- Volume
- 336
- Category
- Article
- ISSN
- 0025-5831
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## Abstract New Besov spaces of Mโharmonic functions are introduced on a bounded symmetric domain in โ^__n__^. Various characterizations of these spaces are given in terms of the intrinsic metrics, the LaplaceโBeltrami operator and the action of the group of the domain.