Geodesic
Some Estimates of the Bergman Kernel of Minimal Bounded Homogeneous Domains
Hideyuki Ishi1 ; Satoshi Yamaji1
1Graduate School of Mathematics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan
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

Hideyuki Ishi  1   ; Satoshi Yamaji  1

1 Graduate School of Mathematics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan 
Hideyuki Ishi; Satoshi 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/JOLT_2011_21_4_a0/
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     author = {Hideyuki Ishi and Satoshi Yamaji},
     title = {Some {Estimates} of the {Bergman} {Kernel} of {Minimal} {Bounded} {Homogeneous} {Domains}},
     journal = {Journal of Lie Theory},
     pages = {755--769},
     year = {2011},
     volume = {21},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2011_21_4_a0/}
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