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Jan 25, 2017 at 15:57 comment added Christian Remling You don't say very specifically what type of condition on $\widehat{f}$ exactly you have in mind, but I'm skeptical. For example, there's the result that for any sequence $a_n\in\ell^2$ there's a continuous function $f$ with $|\widehat{f}_n|\ge |a_n|$. Roughly speaking, this says that the conditions on $f$ you impose give you precisely nothing on the rate of decay of $\widehat{f}$.
S Jan 25, 2017 at 13:12 history suggested J.J. Green CC BY-SA 3.0
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Jan 25, 2017 at 12:58 review Suggested edits
S Jan 25, 2017 at 13:12
Jan 25, 2017 at 12:04 review First posts
Jan 25, 2017 at 12:05
Jan 25, 2017 at 11:57 history asked Olli CC BY-SA 3.0