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Results tagged with fourier-analysis
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user 636
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Accepted
The entropy of a convolution over the hypercube
There is no such $C$. Define $g\colon\mathbb{Z}_2^n\to\mathbb{R}$ by
$$g(x_1,\dots,x_n)=\begin{cases}
2^{2n/3}&\text{ if $x_1=\dots=x_n=0$}\\
1&\text{ otherwise.}\end{cases}$$
Then $g*g$ satisfies
$$ …
- 3,606