Kähler diffusion processes associated with the Bergman metric and domains of holomorphy (Q1110157)
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scientific article; zbMATH DE number 4071981
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kähler diffusion processes associated with the Bergman metric and domains of holomorphy |
scientific article; zbMATH DE number 4071981 |
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Kähler diffusion processes associated with the Bergman metric and domains of holomorphy (English)
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1988
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It is established that the conservativeness of the minimal diffusion process associated with the Bergman metric on a bounded domain in \({\mathbb{C}}^ n\) implies that the domain is a domain of holomorphy. This may be thought of as a stochastic analogy of the well known fact that if the domain is complete with respect to the Bergman metric then it is a domain of holomorphy. Moreover, it is seen that the diffusion process is conservative if the Bergman kernel function is exhaustive.
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domains of holomorphy
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conservativeness
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minimal diffusion process
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Bergman kernel function
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0.8271975517272949
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0.7502836585044861
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0.7464807629585266
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0.731019914150238
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0.7285199761390686
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