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is it possibel to solve the equation

g$(x)= \sum_{n=1}^{\infty}f(x/n) $ for $ f(x)$ with other methods different from taking the Mellin transform on both sides ?? thanks.

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    f(x) is of the order $ f(x)= O(x^{a}) $ at least for big 'x' and an integer positive 'a'2012-10-08

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