Fourier integral representation of harmonic functions in terms of a current. (Q1396388)
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scientific article; zbMATH DE number 1943289
| Language | Label | Description | Also known as |
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| English | Fourier integral representation of harmonic functions in terms of a current. |
scientific article; zbMATH DE number 1943289 |
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Fourier integral representation of harmonic functions in terms of a current. (English)
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30 June 2003
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A Fourier integral representation is given for harmonic functions in the unit ball of \(\mathbb{R}^3\), continuous up to the boundary. The representation involves the integration current over the analytic variety \(\{z^2_1+ z^2_2+ z^2_3= 0\}\) of \(\mathbb{C}^3\).
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harmonic function
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Ehrenpreis fundamental principle
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current
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0.8488909
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