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Sets of Divergence for Fourier Series

✍ Scribed by Korner, T. W.


Book ID
120094279
Publisher
Oxford University Press
Year
1971
Tongue
English
Weight
69 KB
Volume
3
Category
Article
ISSN
0024-6093

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πŸ“œ SIMILAR VOLUMES


Divergent fourier series: Numerical expe
✍ C. Boldrighini; S. Frigio; Stanislav A. Molchanov πŸ“‚ Article πŸ“… 1991 πŸ› Springer Netherlands 🌐 English βš– 543 KB

An open problem in the theory of Fourier series is whether there are functions f e L1 such that the partial sums S.(f, x) diverge faster than log log n, almost everywhere in x. For a class of particularly 'bad' functions Kahane proved that the rate of divergence is faster than o0og log n). We give h