Unbounded divergence of Fourier series of continuous functions

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For any given set E ⊂ [0, 2π), of measure zero, a functionf(t) e C (0, 2π), is constructed whose Fourier series is unboundedly divergent on E. If E is closed, there is a functionϕ(t) e C (0, 2π), whose Fourier series diverges unboundedly on E and converges on [0, 2π)E.