MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).

3 edited tags; added 48 characters in body

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)?

2 Texified

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)?

1

# 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)?