If a continuous and infinitely differentiable function $f(x): \mathbb{R}\to\mathbb{C}$ is in $L^p$, is it also true that $f(n),\ n\in \mathbb{Z}$ is in $\ell^p$?
On $L^p$ and $\ell^p$
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functional-analysis
metric-spaces
normed-spaces
lp-spaces
then (or any set of $p$)? I must add that $f(x)$ is continuous and has derivatives of all order.
– 2012-10-30