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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★ 29 cited
Polynomial Wolff axioms and Kakeya-type estimates in
Larry Guth, Joshua Zahl
We establish new linear and trilinear bounds for collections of tubes in that satisfy the polynomial Wolff axioms. In brief, a collection of -tubes satisfies the…