[PDF.91nj] On the Convergence of Eckf Nkx (Memoirs of the American Mathematical Society)
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On the Convergence of Eckf Nkx (Memoirs of the American Mathematical Society)
Istvan Berkes, Michel Weber
[PDF.um81] On the Convergence of Eckf Nkx (Memoirs of the American Mathematical Society)
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| #16438661 in Books | Amer Mathematical Society | 2009-09-11 | Original language:English | 9.75 x7.00 x.25l,.50 | File type: PDF | 72 pages | |
Let f be a periodic measurable function and x (nk) an increasing sequence of positive integers. The authors study conditions under which the series k=1 Ckf(nkx)_ converges in mean and for almost every x. There is a wide classical literature on this problem going back to the 30's, but the results for general f are much less complete than in the trigonometric case f(x) = sin x. As it turns out, the convergence properties of k=1 ckf(nkx) in the general case are determined b...
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