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Certain conditions for holomorphicity in Hilbert spaces

Research paper by A. V. Bondar', V. Yu. Romanenko

Indexed on: 01 Jan '91Published on: 01 Jan '91Published in: Ukrainian Mathematical Journal



Abstract

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.