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arXiv · 2008.08429

Iterations and groups of formal transformations

O. V. Kaptsov
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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.

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O. V. Kaptsov. 2020-08-19. Iterations and groups of formal transformations. https://arxiv.org/abs/2008.08429

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