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Directory Results for Fourier series fill in the blanks to Fourier Series for Singular Measures. Using the Kaczmarz algorithm, we prove that for any singular Borel probability measureon 0,1), every fL2() possesses a Fourier series of the f(x)n0cne2inx. We show that the coefficients cn can be

Fourier series fill in the blanks
Fourier Series for Singular Measures. Using the Kaczmarz algorithm, we prove that for any singular Borel probability measureon 0,1), every fL2() possesses a Fourier series of the f(x)n0cne2inx. We show that the coefficients cn can be