Transformations and functions that preserve the asymptotic mean of digits in the ternary representation of a number
Abstract
In the paper we study transformations of the interval [0;1) and functions that preserve the asymptotic mean r of the digits in the s--adic representation of a number x, r(x)=n∞1nΣni=1αi(x) specify the necessary and sufficient conditions for a transformation to belong to this class
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