A realization theorem in the problem of a strict analytical classification of typical germs of semihyperbolic mappings

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.