Geodesic
On measurable solutions of a functional equation and their application to information theory
Applications of Mathematics, Tome 28 (1983) no. 2, pp. 103-107.

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In this paper, measurable solutions of a functional equation with four unknown functions are obtained. As an application of the measurable solutions a joint characterization of Shannon's entropy and entropy of type $\beta$ is given.
DOI : 10.21136/AM.1983.104010
Classification : 39B30, 39B99, 94A15, 94A17
Keywords: measurable solutions; system; Shannon’s entropy 
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     title = {On measurable solutions of a functional equation and their application to information theory},
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Dial, Gur. On measurable solutions of a functional equation and their application to information theory. Applications of Mathematics, Tome 28 (1983) no. 2, pp. 103-107. doi : 10.21136/AM.1983.104010. http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104010/

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