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- W4315642805 abstract "Given a closed subset E of Lebesgue measure zero on the unit circle T there is a function f on T with uniformly convergent symmetric Fourier series Sn(f,ζ)=∑k=−nnfˆ(k)ζk⇉Tf(ζ),such that for every continuous function g on E, there is a subsequence of partial power sums Sn+(f,ζ)=∑k=0nfˆ(k)ζkof f, which converges to g uniformly on E. Here fˆ(k)=∫Tζ̄kf(ζ)dm(ζ),and m is the normalized Lebesgue measure on T." @default.
- W4315642805 created "2023-01-12" @default.
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- W4315642805 date "2023-03-01" @default.
- W4315642805 modified "2023-10-14" @default.
- W4315642805 title "Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero" @default.
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- W4315642805 doi "https://doi.org/10.1016/j.jat.2023.105864" @default.
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