An investigation concerning the absolute convergence of Fourier series

University essay from Linköpings universitet/Matematik och tillämpad matematikLinköpings universitet/Tekniska fakulteten

Abstract: In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series, followed by an example of a differentiable function whose Fourier series does not converge absolutely. In the end we provide a suggestion for future work on generalizing the given example, and we briefly discuss an issue that has not been given much attention in the existing literature on the subject.

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