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Optimal Constants of Smoothing Estimates for the Free Dirac Equation in Arbitrary Dimensions

A determination of the best constants in Kato-Yajima space-time smoothing estimates for the d-dimensional free Dirac equation (d at least 2), expressing each optimal constant as a supremum of explicit Bessel-integral functions via a Dirac-adapted modified spherical harmonics decomposition and the Funk-Hecke theorem, and giving closed-form values in cases where the Schrodinger analogue has none.