• Corpus ID: 235658724

On classical inequalities for autocorrelations and autoconvolutions

  title={On classical inequalities for autocorrelations and autoconvolutions},
  author={Jaume de Dios Pont and Jos'e Madrid},
In this paper we study an autocorrelation inequality proposed by Barnard and Steinerberger [1]. The study of these problems is motivated by a classical problem in additive combinatorics. We establish the existence of extremizers to this inequality, for a general class of weights, including Gaussian functions (as studied by the second author and Ramos) and characteristic function (as originally studied by Barnard and Steinerberger). Moreover, via a discretization argument and numerical analysis… 

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