This article is cited in 1 paper

Iterations and groups of formal transformations

Oleg V. Kaptsov

Institute of computational modelling SB RAS, Krasnoyarsk, Russian Federation

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.

Keywords: iteration, formal transformations, functional equations.

UDC: 512.816+517.9

Received: 17.03.2021
Received in revised form: 10.04.2021
Accepted: 20.05.2021

Language: English

DOI: 10.17516/1997-1397-2021-14-5-584-588

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