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»ã±¨ÌáÒª£ºIn this talk, we will introduce a class of oscillatory integral operators with the kernel being smooth function and compact support. Stein and Phong investigated those operators and obtained the sharp $L^2$ decay estimates. We obtain the sharp $L^p$ decay estimates of the oscillatory integral operators with homogeneous polynomial phases. As a result, we also give the sharp $L^p$-boundedness of the generalized Fourier transform.

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