Supply of harmonic functions of an infinite number of variables. II (Q1814602)
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scientific article; zbMATH DE number 6914
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Supply of harmonic functions of an infinite number of variables. II |
scientific article; zbMATH DE number 6914 |
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Supply of harmonic functions of an infinite number of variables. II (English)
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25 June 1992
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The author obtains (in some sense) optimal conditions for a function to be harmonic on a Hilbert space. For the estimation of the Laplacian introduced by P. Levi he uses estimates growing like sums of orthogonal random variables. The paper is a continuation of Ukr. Mat. Zh. 42, No. 11, 1576-1579 (1990), English translation in Ukr. Math. J. 42, 1419-1423 (1990; Zbl 0734.31011).
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harmonicity conditions
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