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arxiv: 1809.07264 · v1 · pith:OVTMF4QBnew · submitted 2018-09-19 · 🧮 math.RA

Stability of the Cosine-Sine Functional Equation on amenable groups

classification 🧮 math.RA
keywords equationamenablefunctionalstabilitybegincosine-sineestablishgroup
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In this paper we establish the stability of the functional equation \begin{equation*}f(xy)=f(x)g(y)+g(x)f(y)+h(x)h(y),\;x,y\in G,\end{equation*} where $G$ is an amenable group.

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