Applications of a decomposition of holomorphic mappings in Cn with respect to a cyclic group

In the paper the decomposition with respect to the group of roots of unity is applied to characterize some classes of biholomorphic mappings in C-n. There is considered the problem of subordination and majorization relations between convex mappings and their components in the above partition. There is also given a distortion theorem for convex mappings and a criterion for starlikeness in C-n. (C) 2003 Elsevier Science (USA). All rights reserved.