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Apr 8, 2020 at 21:04 comment added Yemon Choi @AlessandroZunino Besicovitch AP seems to be a red herring if you merely want an approximation in some interval around $x=0$. As pointed out above, AP functions in the sense of Bohr cannot tend to zero at infinity, and I think the same also applies to the Besicovitch $B_p$-spaces
Apr 8, 2020 at 11:50 history edited Gerald Edgar CC BY-SA 4.0
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Apr 8, 2020 at 11:48 comment added DrManhattan Thank you very much. Your Maple result looks nice, but I am looking for something like a Generalized Fourier series, as those of Besicovitch almost periodic functions (en.wikipedia.org/wiki/…). The multiplication term $x^{-1/2-n}$ looks like a big departure from an expansion in "discrete frequencies".
Apr 8, 2020 at 11:21 history answered Gerald Edgar CC BY-SA 4.0