RESTRICTION THEOREM , AND SCALING Alex
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چکیده
We show, using a Knapp-type homogeneity argument, that the (L, L) restriction theorem implies a growth condition on the hypersurface in question. We further use this result to show that the optimal (L, L) restriction theorem implies the sharp isotropic decay rate for the Fourier transform of the Lebesgue measure carried by compact convex finite hypersurfaces. Section 0: Introduction Let S be a smooth compact finite type hypersurface. Let FS(ξ) = ∫
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تاریخ انتشار 1999