Fourier coefficients and growth of harmonic functions (Q1110683)
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scientific article; zbMATH DE number 4073402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourier coefficients and growth of harmonic functions |
scientific article; zbMATH DE number 4073402 |
Statements
Fourier coefficients and growth of harmonic functions (English)
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1987
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We consider harmonic functions, H, of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its Fourier coefficients in case H is not entire. Further, we obtain, in terms of its Fourier coefficients, the order and type growth measures, both in case H is entire or non- entire.
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harmonic functions
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Fourier coefficients
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entire
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radius of harmonicity
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growth measures
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