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arXiv · 1010.3527

Continuous functions with universally divergent Fourier series on small subsets of the circle

Juergen Mueller
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Abstract

It is shown that quasi all continuous functions on the unit circle have the property that, for many small subsets E of the circle, the partial sums of their Fourier series considered as functions restricted to E exhibit certain universality properties.

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Juergen Mueller. 2010-10-18. Continuous functions with universally divergent Fourier series on small subsets of the circle. https://doi.org/10.1007/s00548-010-0130-4

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