Geodesic
Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains
Journal of Lie theory, Tome 21 (2011) no. 4, pp. 755-769.

Voir la notice de l'article provenant de la source Heldermann Verlag

We describe the Bergman kernel of any bounded homogeneous domain in a minimal realization relating to the Bergman kernels of the Siegel disks. Taking advantage of this expression, we obtain substantial estimates of the Bergman kernel of the homogeneous domain.
Classification : 32A25, 32H02, 32M10
Mots-clés : Bounded homogeneous domain, Bergman kernel, minimal domain, Siegel domain 
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     author = {H. Ishi and S. Yamaji },
     title = {Some {Estimates} of the {Bergman} {Kernel} of {Minimal} {Bounded} {Homogeneous} {Domains}},
     journal = {Journal of Lie theory},
     pages = {755--769},
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     year = {2011},
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H. Ishi; S. Yamaji . Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains. Journal of Lie theory, Tome 21 (2011) no. 4, pp. 755-769. http://geodesic.mathdoc.fr/item/JLT_2011_21_4_JLT_2011_21_4_a0/