Timeline for Sets $E$ in $\mathbb{Z}$ such that any $l^2$ function with support on $E$ comes from Fourier of a continuous function
Current License: CC BY-SA 3.0
4 events
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| Nov 13, 2013 at 1:32 | comment | added | Jesse Peterson | One characterization of an amenable group $\Gamma$ is that $\| \lambda(f) \|_\infty = \| f \|_1$ for any non-negative valued function $f \in \ell^1\Gamma$. So no amenable groups will have such an infinite subset. Which then begs the question: What about non-amenable groups which do not contain a non-cyclic free group? | |
| Nov 13, 2013 at 0:43 | answer | added | Mark Lewko | timeline score: 7 | |
| Nov 12, 2013 at 23:45 | history | edited | Alin Galatan | CC BY-SA 3.0 |
added 91 characters in body
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| Nov 12, 2013 at 21:29 | history | asked | Alin Galatan | CC BY-SA 3.0 |