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In this note we prove scattering for a defocusing nonlinear Schr{\"o}dingerequation with initial data lying in a critical Besov space. In addition, weobtain polynomial bounds on the scattering size as a function of the criticalBesov norm.

Scattering for the defocusing, cubic nonlinear Schr{\"o}dinger equation with initial data in a critical space