On a Teodorescu transform for a class of metaharmonic functions (Q2775685)
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scientific article; zbMATH DE number 1713960
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a Teodorescu transform for a class of metaharmonic functions |
scientific article; zbMATH DE number 1713960 |
Statements
28 February 2002
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metaharmonic functions
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Cauchy integral
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integral representations
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\(\alpha\)-hyperholomorphic functions
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Teodorescu transform
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On a Teodorescu transform for a class of metaharmonic functions (English)
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We quote from the authors' abstract: We study mapping properties of the Teodorescu transform in the theory of \(\alpha\)-hyperholomorphic functions. Then, an operator calculus in spaces of metaharmonic functions is considered. This relates the integral operators from classical potential theory with the Teodorescu transform and the Cauchy integral. At the end a short proof of the Cauchy formula for \(\alpha\)-hyperholomorphic functions is shown.
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