Abstract
A criterion of harmonicity of functions in a Hilbert space is given in the case of nonnegative second derivatives without using an assumption that they are mutually independent. This assumption is replaced by a weaker condition.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 11, pp. 1602–1605, November, 1994.
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Feller, M.N. New condition of harmonicity of functions of infinitely many variables (translation nonpositive case). Ukr Math J 46, 1777–1781 (1994). https://doi.org/10.1007/BF01058900
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DOI: https://doi.org/10.1007/BF01058900