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Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)

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Abstract

A criterion of harmonicity of functions in a Hilbert space is given in the case of weakened mutual dependence of the second derivatives.

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References

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Additional information

Ukrainian Scientific and Industrial Wood Working Concern, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 6 pp. 785–788, June, 1994

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Feller, M.N. Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case). Ukr Math J 46, 857–862 (1994). https://doi.org/10.1007/BF02658189

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  • DOI: https://doi.org/10.1007/BF02658189

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