On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane

Author: Brodovic M. T.  

Publisher: Springer Publishing Company

ISSN: 0041-5995

Source: Ukrainian Mathematical Journal, Vol.55, Iss.9, 2003-09, pp. : 1395-1409

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Abstract

We prove the holomorphy of a function that, at every point, preserves either angles or dilations with respect to a certain set.