The authors prove the optimal constant in a Fourier uncertainty principle is positive for all parameter values, show extremizers exist, and explicitly identify them in several regimes, confirming Steinerberger's conjecture for the interval.
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Extremizers of a Fourier uncertainty principle related to averaging
The authors prove the optimal constant in a Fourier uncertainty principle is positive for all parameter values, show extremizers exist, and explicitly identify them in several regimes, confirming Steinerberger's conjecture for the interval.