Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (5)
- Authors
- Kaptsov, Oleg V.
- Contact information
- Kaptsov, Oleg V.: Institute of computational modelling SB RAS Krasnoyarsk, Russian Federation;
- Keywords
- iteration; formal transformations; functional equations
- Abstract
In this paper, we consider the problem of formal iteration. We construct an area preserving mapping which does not have any square root. This leads to a counterexample to Moser’s existence theorem for an interpolation problem. We give examples of formal transformation groups such that the iteration problem has a solution for every element of the groups
- Pages
- 584–588
- DOI
- 10.17516/1997-1397-2021-14-5-584-588
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/143732
Journal of Siberian Federal University. Mathematics & Physics / Iterations and Groups of Formal Transformations
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