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arXiv · 1010.4370

Some estimates of the Bergman kernel of minimal bounded homogeneous domains

Hideyuki Ishi·Satoshi Yamaji
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Abstract

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.

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Hideyuki Ishi, Satoshi Yamaji. 2010-10-21. Some estimates of the Bergman kernel of minimal bounded homogeneous domains. https://arxiv.org/abs/1010.4370

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