Certain conditions for holomorphicity in Hilbert spaces


New conditions for the C-differentiability of IR-differentiable mappings are obtained and a theorem on the holomorphicity of the mappings that have finite dilatation along cones is proved.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 1, pp. 35–40, January, 1991.

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Bondar', A.V., Romanenko, V.Y. Certain conditions for holomorphicity in Hilbert spaces. Ukr Math J 43, 27–31 (1991). https://doi.org/10.1007/BF01066899

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  • Hilbert Space