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Multiadditive functions satisfying certain functional equations

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Abstract

As a generalization of a result proved independently by Kurepa and Jurkat on additive functions on \({\mathbb R}\) satisfying certain functional equations, we determine multiadditive functions on \({\mathbb R}^n\) with a positive integer n greater than 1 satisfying certain functional equations similar to those considered in the one variable case.

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Acknowledgements

The author would like to thank the anonymous referee for the careful reading of the manuscript, and especially for the valuable comments that made it possible to mention, after the Example in the introduction, further problems generalizing the main result of this paper.

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  1. Department of Mathematics, Gunma University, Tenjin-cho 1-5-1, Kiryu, 376-8515, Japan

    Masaaki Amou

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  1. Masaaki Amou
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Correspondence to Masaaki Amou.

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Amou, M. Multiadditive functions satisfying certain functional equations. Aequat. Math. 93, 345–350 (2019). https://doi.org/10.1007/s00010-018-0627-7

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  • DOI: https://doi.org/10.1007/s00010-018-0627-7

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