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Timeline for Is there an L^p tauberian theorem?

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May 18, 2023 at 7:09 comment added The Amplitwist The link to sciencedirect.com is broken. I'm also unable to find any snapshot saved on the Wayback Machine.
Nov 6, 2009 at 18:55 vote accept Mark Lewko
Nov 5, 2009 at 20:40 comment added Mark Lewko Thanks! Looking at the paper of N. Lev and A. Olevskii I learned that there is a partial generalization of Beurling (On a closure problem, Ark. Mat. 1 (1951), pp. 301–303.) This states that the translates of f \in L^{p} is dense in L^p (for 1<p<2) if the Hausdorff dimension of the zero set of the Fourier transform of f is less than 2(p-1)/p. The converse, as has be pointed out, is false.
Nov 5, 2009 at 19:25 comment added Yemon Choi Thanks! This explains why I thought the question "looked familiar" - I must have seen the abstract of something like this: arXiv:0908.0447
Nov 5, 2009 at 19:18 history edited ioannis.parissis CC BY-SA 2.5
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Nov 5, 2009 at 19:11 history answered ioannis.parissis CC BY-SA 2.5