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arxiv: 1512.04709 · v1 · pith:EEIG5STTnew · submitted 2015-12-15 · 🧮 math.FA

On the stability of the linear functional equation in a single variable on complete metric groups

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keywords completeequationfunctionallinearmetricsinglestabilityvariable
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In this paper we obtain a result on Hyers-Ulam stability of the linear functional equation in a single variable $f(\varphi(x)) = g(x) \cdot f(x)$ on a complete metric group.

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