关于另一种加二次函数方程

Pub Date : 2024-05-13 DOI:10.1007/s00010-024-01074-0

Gian Luigi Forti, Bettina Wilkens

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引用次数: 0

摘要

我们考虑从一个无方群到另一个无方群的映射 f，该映射在其域的任意给定元素对上满足加法或二次函数方程。我们特别强调了 f 本身既非可加性也非二次性的可能性，并对所有这些情况进行了完整的描述。

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On an alternative additive-quadratic functional equation

We consider a map f from one abelian group into another that satisfies either an additive or quadratic functional equation on any given pair of elements of its domain. Particular emphasis is placed on the possibility that f itself is neither additive nor quadratic and a complete description of all those cases is obtained.

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