Certain conditions for holomorphicity in Hilbert spaces (Q1176943)
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scientific article; zbMATH DE number 12709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Certain conditions for holomorphicity in Hilbert spaces |
scientific article; zbMATH DE number 12709 |
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Certain conditions for holomorphicity in Hilbert spaces (English)
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25 June 1992
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The authors consider mappings defined on a domain of a complex Hilbert space and give new conditions for the holomorphicity of \(\mathbb{R}\)- differentiable mappings and of mappings having finite dilatation along cones, respectively. The statements and proofs are hardly to duplicate, because the tenors of some sentences are mysterious.
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\(\mathbb{C}\)-differentiability
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\(\mathbb{R}\)-differentiability
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holomorphicity of \(\mathbb{R}\)-differentiable mappings
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mappings having finite dilatation along cones
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