On restriction of the Fourier transform to hypersufaces

Details On restriction of the Fourier transform to hypersufaces On restriction of the Fourier transform to hypersufaces

2010-04-15

arxiv.org/abs/1004.2601v1

Mathematics

Classical Analysis and ODEs

Scientific paper

It is considered Fourier transform of convex analytic hypersufaces on $R^{4}
$. We prove that the Fourier restriction operator associated to convex analytic
hypersufaces is \textit{$(L_{p}, L_{2})$} bounded whenever $1\le p\le
\frac{2h+2}{h+2}$. The result is sharp.

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