If you have a function with countable discontinuities on an interval, I know that the Fourier series will converge to that function without those discontinuities. But how could you explain that formally? If the basis of the fourier series span the space L^2[a,b], that would include functions with countable point-discontinuities, right?(adsbygoogle = window.adsbygoogle || []).push({});

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# Fourier series of functions with points of discontinuity

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