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On optimal autocorrelation inequalities on the real line
2020
Communications on Pure and Applied Analysis
We study autocorrelation inequalities, in the spirit of Barnard and Steinerberger's work [1]. In particular, we obtain improvements on the sharp constants in some of the inequalities previously considered by these authors, and also prove existence of extremizers to these inequalities in certain specific settings. Our methods consist of relating the inequalities in question to other classical sharp inequalities in Fourier analysis, such as the sharp Hausdorff-Young inequality, and employing
doi:10.3934/cpaa.2020271
fatcat:a6jxg5eehfdgvgarpzsmowrqha