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math.CA2023
On smoothing estimates for Schrödinger equations on product spaces
Xianghong Chen, Zihua Guo, Minxing Shen +1
Let denote the Laplace-Beltrami operator on the product spaces . In this article we show that $$ \left\|e^{it…
math.CA2017
Restriction of the Fourier transform to some oscillating curves
Xianghong Chen, Dashan Fan, Lifeng Wang
Let be a smooth function on a compact interval . Let In this paper, we show that $$\left(\int_I \big|\hat f(γ(t))\big|^q \b…