E. G. Ganenkova, “The Bagemihl theorem for the skeleton of a polydisk and its applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 6,Pages <nobr>35

This article is cited in 1 paper

The Bagemihl theorem for the skeleton of a polydisk and its applications

E. G. Ganenkova

Chair of Mathematical Analysis, Petrozavodsk State University, Petrozavodsk, Russia

Abstract: In this paper we prove an analog of the Bagemihl theorem for functions defined in the unit polydisk. We apply the obtained result for studying properties of functions of linearly invariant families.

Keywords: cluster set, ambiguous point, linearly invariant family.

UDC: 517.55+517.544

Received: 14.01.2010