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math.CA2025
Damping oscillatory Integrals of convex analytic functions
Sanghyuk Lee, Sewook Oh
Let be a compact, convex, analytic hypersurface of finite type with a smooth measure on . Let denote the Gaussian curvature on . We consider the o…
math.CA2025
Maximal estimates for averages over degenerate hypersurfaces
Sewook Oh
We study boundedness of the maximal average over dilations of a smooth hypersurface . When the decay rate of the Fourier transform of a measure on is , we establi…