Unique determination of any harmonic function from its values given on the points of two convergent sequences (Q1077589)
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scientific article; zbMATH DE number 3957576
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unique determination of any harmonic function from its values given on the points of two convergent sequences |
scientific article; zbMATH DE number 3957576 |
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Unique determination of any harmonic function from its values given on the points of two convergent sequences (English)
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1984
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The following result is proved: Let u be a harmonic function in an open disk D with center (0,0) in the plane. Then u is uniquely determined by its values at the points of two sequences in D, each converging to (0,0) along a line through (0,0) such that the angle between two lines is not a rational multiple of \(\pi\). [Reviewer's remark: We can provide an elementary proof to this result.]
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determination by values of convergent sequences
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harmonic function
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