论文标题

迭代和正式转型群

Iterations and groups of formal transformations

论文作者

Kaptsov, O. V.

论文摘要

在本文中,我们考虑了正式迭代的问题。我们构建一个保留没有任何平方根的映射区域。这导致了Moser存在定理的插值问题的反例。我们给出形式转换组的示例,以便迭代问题为各组的每个元素都有解决方案。

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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