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A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds
We prove a bilinear L 2 ޒ( d ) × L 2 ޒ( d ) → L 2 ޒ( d+1 ) estimate for a pair of oscillatory integral operators with different asymptotic parameters and phase functions satisfying a transversality condition.This is then used to prove a bilinear refinement to Strichartz …