Separation of boundary singularities for holomorphic generators (Q415433)
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scientific article; zbMATH DE number 6031769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separation of boundary singularities for holomorphic generators |
scientific article; zbMATH DE number 6031769 |
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Separation of boundary singularities for holomorphic generators (English)
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8 May 2012
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The authors study the infinitesimal generators of one-parameter semigroups of holomorphic self-mappings of the unit disk with given boundary fixed points at which the mappings have finite angular derivatives. It is established that the reciprocal of the generators admit to select a summand which is caused by the fixed points of the one-parameter semigroup. Estimations for the generators of the considered class are also obtained.
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one-parameter semigroup
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infinitesimal generator
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angular derivative
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