Three-line theorem on the octonions (Q1882493)
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scientific article; zbMATH DE number 2104906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-line theorem on the octonions |
scientific article; zbMATH DE number 2104906 |
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Three-line theorem on the octonions (English)
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1 October 2004
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This paper deals with two types of three-line theorems for O-analytic functions in Octonions. This is an analogue to the classical Hadamard three-circle theorem. For monogenic functions in Clifford algebras similar results are already known. Applying stronger conditions than in Clifford algebra and using the non-associativity yields stronger results (by a different proof).
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octonions
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O-analytic functions
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three line theorem
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Hadamard three-circle theorem
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