Geodesic
A realization theorem in the problem of a strict analytical classification of typical germs of semihyperbolic mappings
Čelâbinskij fiziko-matematičeskij žurnal, Tome 5 (2020) no. 1, pp. 105-113

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We consider the problem of the analytic classification of germs of semi-hyperbolic mappings by the example of germs of simplest form. The final theorem, which is necessary for constructing an analytical classification, is proved — a theorem on the realization of elements of a certain functional space as functional modules of the constructed classification. To prove the theorem, the method of almost complex structures is used.
Keywords: semihyperbolic mapping, analytic classification, functional module, realization. 
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     title = {A realization theorem in the problem of a strict analytical classification of typical germs of semihyperbolic mappings},
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P. A. Shaikhullina. A realization theorem in the problem of a strict analytical classification of typical germs of semihyperbolic mappings. Čelâbinskij fiziko-matematičeskij žurnal, Tome 5 (2020) no. 1, pp. 105-113. http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_1_a7/