Some integral representations of slice hyperholomorphic functions (Q2876649)
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scientific article; zbMATH DE number 6332190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some integral representations of slice hyperholomorphic functions |
scientific article; zbMATH DE number 6332190 |
Statements
19 August 2014
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slice monogenic functions
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Schwarz integral formula
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Harnack inequalities
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Some integral representations of slice hyperholomorphic functions (English)
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The authors are well-known experts for slice monogenic functions. In this paper Schwarz formulas are extended to the case of slice monogenic functions. Corresponding integral representations are obtained. The paper is self-contained, all facts on slice monogenic function are carefully introduced. Also a historical review on this topic is given. A suitable decomposition of slice monogenic functions plays the key role for all proofs.
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