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. In this paper we consider the sublaplacian L on the unit complex sphere S^(2n+1) \udC^(n+1), equipped with its natural CR structure, and derive Strichartz estimates with fractional\udloss of derivatives for the solutions of the free Schrodinger equation associated with L. Our results\udare stated in terms of certain Sobolev-type spaces, that measure the regularity of functions\udon S^(2n+1) dierently according to their spectral localization. Stronger conclusions are obtained\udfor particular classes of solutions, corresponding to initial data whose spectrum is contained in\uda proper cone of N^2

Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres