2019
Том 71
№ 11

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New condition of harmonicity of functions of infinitely many variables (translation nonpositive case)

Feller M. N.

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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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 11, pp 1777–1781.

Citation Example: Feller M. N. New condition of harmonicity of functions of infinitely many variables (translation nonpositive case) // Ukr. Mat. Zh. - 1994. - 46, № 11. - pp. 1602-1605.

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