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math.CA2024
Oscillatory integral operators and variable Schrödinger propagators: beyond the universal estimates
Mingfeng Chen, Shengwen Gan, Shaoming Guo +3
We consider a class of Hörmander-type oscillatory integral operators in for odd with real analytic phase. We derive weak conditions on the phase which ens…
math.CA2024
The dichotomy of Nikodym sets and local smoothing estimates for wave equations
Mingfeng Chen, Shaoming Guo
We show that Nikodym sets and local smoothing estimates for linear wave equations form a dichotomy: If Nikodym sets for a family of curves exist, then the related maximal operator…