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Abstract Tao has shown that hard summation (summing Fourier-type series by using terms in order of decreasing size of the Fourier coefficients) works for wavelets, but the present author has shown that it fails for classical Fourier series. This paper, which is intended for a general audience, exhibits the underlying ideas in the context of Haar and Walsh series, where many of the proofs simplify. 2000 Mathematics Subject Classification 42A20 (primary), 42C10, 42C20 (secondary). © London Mathematical Society
Bulletin of the London Mathematical Society – Oxford University Press
Published: Oct 1, 2006
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