Geodesic
The Bagemihl theorem for the skeleton of a~polydisk and its applications
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2011), pp. 35-43

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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. 
@article{IVM_2011_6_a4,
     author = {E. G. Ganenkova},
     title = {The {Bagemihl} theorem for the skeleton of a~polydisk and its applications},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {35--43},
     publisher = {mathdoc},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_6_a4/}
}
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E. G. Ganenkova. The Bagemihl theorem for the skeleton of a~polydisk and its applications. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2011), pp. 35-43. http://geodesic.mathdoc.fr/item/IVM_2011_6_a4/