On $\ell_4 : \ell_2$ ratio of functions with restricted Fourier support

Given a subset $A \subseteq \{0,1\}^n$, let $\mu(A)$ be the maximal ratio between $\ell_4$ and $\ell_2$ norms of a function whose Fourier support is a subset of $A$. We make some simple observations about the connections between $\mu(A)$ and the additive properties of $A$ on one hand, and between $\...

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Hauptverfasser:	Kirshner, Naomi, Samorodnitsky, Alex
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics
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