Abstract
In this paper we consider and solve a functional equation in a restricted class of operations on the space of distribution functions. As a consequence, we obtain a characterization of convolution.
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Alsina, C.,A characterization of the convolution (Spanish). InContributions in probability and mathematical statistics, teaching of mathematics and analysis (Spanish), Grindley, Granada, 1979, pp. 57–60.
Schweizer, B.,Multiplications on the space of probability distribution functions. Aequationes Math.12 (1975), 156–183.
Schweizer, B. andSklar, A.,Probabilistic metric spaces. North Holland, New York, 1982.
Urbanik, K.,Generalized convolutions. Studia Math.23 (1964) 217–245.
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Dedicated to Professor Janos Aczél on his 60th birthday
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Alsina, C. A characterization of convolution and related operations. Aeq. Math. 28, 88–93 (1985). https://doi.org/10.1007/BF02189396
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DOI: https://doi.org/10.1007/BF02189396