Representation of harmonic functions in \(R^ 4\) (Q1173803)
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scientific article; zbMATH DE number 7510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of harmonic functions in \(R^ 4\) |
scientific article; zbMATH DE number 7510 |
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Representation of harmonic functions in \(R^ 4\) (English)
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25 June 1992
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Let \(H\) be a harmonic function in \(R^ 4\), let \(h\) be the associated analytic function in \(C^ 3\). The author establishes a reciprocal integral equation, which forms a dual transform pair linking the functions \(H\) and \(h\) on their domains of association. This result extends Szegö's and Nehari's singularity theorems regarding zonal harmonic series and analytic functions in \(C^ 1\).
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harmonic function
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analytic function
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reciprocal integral equation
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singularity
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0.90707386
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0.88567245
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0.88150954
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0.87863326
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0.87764364
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0.87623847
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