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Let $f:[0,1]\to[0,1]$ be the classical devil's staircase. Has anybody ever computed (or studied) the fourier coefficient of $f(x)$?

Related question: is the fourier series of $f(x)-x$ normally convergent (with respect to uniform norm)?
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Let f:[0,1]->[0,1] $f:[0,1]\to[0,1]$ be the classical devil's staircase. Has anybody ever computed (or studied) the fourier coefficient of f(x)?$f(x)$?

Related question: is the fourier series of f(x)-x $f(x)-x$ normally convergent (with respect to uniform norm)?
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Evil Fourier Coefficients

Let f:[0,1]->[0,1] be the classical devil's staircase. Has anybody ever computed (or studied) the fourier coefficient of f(x)?

Related question: is the fourier series of f(x)-x normally convergent (with respect to uniform norm)?