Mathematics

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

P. A. Shaikhullina

Chelyabinsk State University, Chelyabinsk, Russia

Abstract: 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.

UDC: 517.9

Received: 23.01.2020
Revised: 28.02.2020

Language: English

DOI: 10.24411/2500-0101-2020-15108