Geodesic
Sectorial normalization of semihyperbolic maps
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 16 (2013), pp. 94-113

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There are considered germs of semihyperbolic maps, i. e. two-dimensional holomorfic maps such that one of its multiplicator is parabolic and another one is hyperbolic. Theorem on sectorial normalization for the simplest semihyperbolic germs is proved.
Keywords: analytic classification, functional invariants. 
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     title = {Sectorial normalization of semihyperbolic maps},
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S. M. Voronin; P. A. Fomina. Sectorial normalization of semihyperbolic maps. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 16 (2013), pp. 94-113. http://geodesic.mathdoc.fr/item/VCHGU_2013_16_a9/