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

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

2010-10-18

arxiv.org/abs/1010.3527v1

Mathematics

Classical Analysis and ODEs

6 pages

Scientific paper

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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