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On the continuous solutions of the Gołąb-Schinzel equation

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Summary

In this paper theorems of P. Javor and N. Brillouët-J. Dhombres will be completed and a theorem of S. Wołodźko generalized, by describing complex-valued continuous solutions defined on a complex topological vector space of the Gołąb-Schinzel equation

$$f(x + yf(x)) = f(x)f(y).$$
((*))

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Baron, K. On the continuous solutions of the Gołąb-Schinzel equation. Aeq. Math. 38, 155–162 (1989). https://doi.org/10.1007/BF01840001

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  • DOI: https://doi.org/10.1007/BF01840001

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