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math.CA2017
Sharp estimates for oscillatory integral operators via polynomial partitioning
Larry Guth, Jonathan Hickman, Marina Iliopoulou
The sharp range of -estimates for the class of Hörmander-type oscillatory integral operators is established in all dimensions under a positive-definite assumption on the phase…
math.CA2017
A multilinear Fourier extension identity on
Jonathan Bennett, Marina Iliopoulou
We prove an elementary multilinear identity for the Fourier extension operator on , generalising to higher dimensions the classical bilinear extension identity in the…