Abstract
Abstract Let X be a random variable with independent ternary digits and let y = F ( x ) {y=F(x)} be a classic singular Cantor function. For the distribution of the random variable Y = F ( X ) {Y=F(X)} , the Lebesgue structure (i.e., the content of discrete, absolutely continuous and singular components), the structure of its point and the continuous spectra are exhaustively studied.
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