Three Convolution Inequalities on the Real Line with Connections to Additive Combinatorics

Journal of Number Theory 207, p. 42-55 (2020) We discuss three convolution inequalities that are connected to additive combinatorics. Cloninger and the second author showed that for nonnegative $f \in L^1(-1/4, 1/4)$, $$ \max_{-1/2 \leq t \leq 1/2} \int_{\mathbb{R}}{f(t-x) f(x) dx} \geq 1.28 \left(...

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Hauptverfasser:	Barnard, Richard C, Steinerberger, Stefan
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Classical Analysis and ODEs Mathematics - Combinatorics
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