A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds

Zaher Hani

We prove a bilinear $L^2({\mathbb{R}}^d)\times L^2({\mathbb{R}}^d)\to L^2({\mathbb{R}}^{d+1})$ estimate for a pair of oscillatory integral operators with different asymptotic parameters and phase functions sa…