Some conditions of holomorphism in the Hilbert spaces

New conditions for the $\mathbb C$-differentiability of $\mathbb R$-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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Bibliographic Details
Date:1991
Main Authors: Bondar , A. V., Romanenko , V. Yu., Бондарь , А. В., Романенко , В. Ю.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1991
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9302
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal