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In this paper, we give an explicit determination of the non-vanishing of thetheta liftings for unitary dual pairs (U(p,q), U(r,s)). Assuming the localGan-Gross-Prasad conjecture, we determine when theta lifts of temperedrepresentations are nonzero in terms of the local Langlands correspondence.

On the non-vanishing of theta liftings of tempered representations of U(p,q)