Carlson's theorem for harmonic functions (Q1120024)
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scientific article; zbMATH DE number 4099636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Carlson's theorem for harmonic functions |
scientific article; zbMATH DE number 4099636 |
Statements
Carlson's theorem for harmonic functions (English)
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1988
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The author proves that if f(z) is an entire function of exponential type less than \(\pi\), with \(\{f(m+i)\}\in \ell^ 1\), \(m=0,\pm 1,\pm 2,..\). and Re f(m)\(=0\), then f(z)\(\equiv 0\).
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entire function of exponential type
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