A direct proof of a theorem of K. Baron


In his work on the Gołąb-Schinzel equation, K. Baron shows a theorem concerning continuous complex-valued solutions, defined on the
complex plane. In this note, we will give a direct proof of this theorem, which does not use the form of the general solution of the Gołąb-Schinzel equation.

1. J. Aczél, Lectures on functional equations and their applications, Academic Press, New York-London, 1966.
2. K. Baron, On the continuous solutions of the Gołąb-Schinzel equation, Aequationes Math. 38 (1989), 155-162.
3. N. Bourbaki, General Topology, Part 2, Addison-Wesley, Reading, Ma., 1966.
4. P. Javor, On the general solution of the functional equation f(x + yf(x)) = 3Df(x)f(y), Aequationes Math. 1 (1968), 235-238.

Published : 1995-09-29

GebertH. (1995). A direct proof of a theorem of K. Baron. Annales Mathematicae Silesianae, 9, 101-103. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14210

Holger Gebert 
Karlsruhe, Germany  Germany

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