Lechao Xiao - Penn Math - University Of Pennsylvania

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CV.

Research

My research area is Harmonic analyis: multilinear operators, oscillatory integrals, singular Radon-like transforms, time-frequency analysis and resolution of singularities; see my research statement for more details.

Publication

Higher decay inequalities for multilinear oscillatory integrals, with M. Gilula and P.T. Gressman, arXiv:1612.00050, submitted.

Endpoint estimates for one-dimensional oscillatory integral operators , arXiv:1602.05663, Adv. in Math., to appear.

Sharp Estimates for Trilinear Oscillatory Integrals and an Algorithm of Two-dimensional Resolution of Singularities, Rev. Mat. Ibero., 33, No. 1 (2017), 67-116.

Maximal Decay Inequalities for Trilinear Oscillatory Integrals of Convolution Type, with P.T. Gressman, J. Func. Anal., 271, No. 12 (2016), 3695 -3726.

Bilinear Hilbert Transforms Associated with Plane Curves, with J. Guo

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